The degree of precision of a quadrature formula whose error term is 27" (T) is: 22 5 2 3

Answers

Answer 1

The degree of precision of a quadrature formula with an error term of 27" (T) is 2.

To understand why the degree of precision is 2, let's first define what the degree of precision means in the context of quadrature formulas. The degree of precision refers to the highest power of x up to which the formula can integrate exactly. In other words, if a quadrature formula has a degree of precision of 2, it means that the formula can integrate exactly all polynomials of degree 2 or lower.

Now, to determine the degree of precision based on the given error term of 27" (T), we need to consider the approximation error. The error term T represents the maximum absolute difference between the exact integral and the approximate integral obtained using the quadrature formula.

In this case, the error term is given as 27" (T). The presence of the quotation mark (") indicates that the error term is measured in arc seconds. This suggests that the error is related to numerical integration over angles or circular arcs.

Since the error term is specified as 27" (T), we can conclude that the error is proportional to the square of the step size used in the quadrature formula. Therefore, the error term is of the order h^2, where h represents the step size.

Since the error term is of order h^2, it implies that the degree of precision is 2. This means that the quadrature formula can provide an exact result for polynomials of degree 2 or lower.

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Related Questions

Can someone please help me on this

Answers

Answer:

the 1 one

Step-by-step explanation:

Answer:

113.4=x(18)

x=6.3

Step-by-step explanation:

It says the product of a number, x, and 18 is 113.4. Since it says product there will be multiplication. The word "is" tells us that x and 18 equals 113.4. Is x= 6.3, 6.3 times 18 equals 113.4. This is a true equation.

Is Y +7 = 5X a linear function

Answers

no. it isn’t. this is not in any form of a linear function

Is 7n+6 equal to 13n?

Answers

Answer:

No

Step-by-step explanation:

Say n was equal to 2

7(2) + 6 =20

13(2) = 26

Last year the highest temperature in a city was recorded as 23C and the lowest temperature was recorded as -10C how many degree warmer was the highest temperature than the lowest temperature

Answers

Answer:

The highest temperature was 33C warmer  than the lowest temperature.

Step-by-step explanation:

In order to find how many degrees warmer was the highest temperature, you have to calculate the difference between both temperatures:

23-(-10)

According to the sign rule, you have to change the subtraction sign  to addition and then, change the sign on the umber after that and add the numbers, which is:

23+10=33

According to this, the answer is that the highest temperature was 33C warmer  than the lowest temperature.

Let In be the number of n-digit quinary (0, 1, 2, 3, 4) sequences with (i) at least one 3 and (ii) the first 3 occurs before the first 0 (possibly no 0's). (Examples of 4-digit legal quinary sequences: 3120, 3000, 4123) (a) Show 91 = 1,92 = 8. = (b) Show a recurrence for an is qn = 39n-1 +5n-1 (91 = 1). = = 5" - 35 (c) A closed form for en is In = (n > 1). Finish the induction proof of this fact 2 (began below) by completing the induction step: 57 - 31 Base case (n = 1): LHS = q1 = 1. RHS 1 2 5k - 3k Induction Hypothesis: Assume true for n=k, i.e., Pk Induction Step: = II 2 N (d) Show how to derive this closed form, i.e., show how one can arrive at this closed form if they only knew the recurrence and the initial values.

Answers

Part a:Here, In be the number of n-digit quinary (0, 1, 2, 3, 4) sequences with(i) at least one 3 and (ii) the first 3 occurs before the first 0 (possibly no 0's).Since there is at least one 3 in the n-digit sequence, we start the sequence by selecting one of the 5 digits. There are five ways to do this.The next digits are chosen according to one of the three cases shown below:1) A string of (n-1) digits where no 0's are included in the string.2) A string of (n-1) digits where at least one 0 appears in the string before the first 3.3) A string of (n-1) digits where 3 appears before the first 0 in the string.The first string in case 1 can be formed in 4 different ways because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). There are 5 choices for the first digit and thus 5*4 quinary sequences of length n with at least one 3 and no 0's that start with the selected digit.The first string in case 2 can be formed in 5 different ways because the first 3 can appear in any position before the first 0. The remaining digits are chosen in n-2 positions because the first digit is already chosen (which is 3) and n-1 digits are left. There are 4 choices for each of the remaining n-2 positions because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). Thus, there are 5*5*4^(n-2) quinary sequences of length n with at least one 3 and at least one 0 that start with the selected digit.The first string in case 3 can be formed in n-1 different ways because the first 3 can appear in any position before the first 0. The remaining digits are chosen in n-2 positions because the first digit is already chosen (which is 3) and n-1 digits are left. There are 4 choices for each of the remaining n-2 positions because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). Thus, there are 5*(n-1)*4^(n-2) quinary sequences of length n with at least one 3 and at least one 0 that start with the selected digit.Therefore, the number of n-digit quinary sequences with (i) at least one 3 and (ii) the first 3 occurs before the first 0 (possibly no 0's) is the sum of the number of sequences in each of the three cases above, i.e.In = 5*4^(n-1) + 5*5*4^(n-2) + 5*(n-1)*4^(n-2)Part b:Recurrence: qn = 3q(n-1) + 4^(n-1) + 2.   q1 = 1. Let's see if qn = 39(n-1) + 5(n-1) satisfies this recurrence.q1 = 1 = 3(1-1) + 4^(1-1) + 2 = 0 + 1 + 2 = 3(0) + 5(1-1) + 1 = 0 + 0 + 1Thus, q1 = 1 satisfies the recurrence.qn+1 = 3qn + 4^n + 2 = 3(39n-1 + 5n-1) + 4^n + 2= 117(n-1) + 15(n-1) + 4^n + 2= 132(n-1) + 4^n + 3Using this formula, we can see that q2 = 91.Part c:Here, we need to finish the induction proof of this fact 2 that In = (n > 1).Induction Hypothesis: Assume true for n = k, i.e., Pk = Ik = 5*4^(k-1) + 5*5*4^(k-2) + 5*(k-1)*4^(k-2)Induction Step: To show that it is true for n = k+1, we need to show that the formula given above holds. The first digit can be any of the 5 digits (0, 1, 2, 3, 4) and the remaining digits can be selected in one of the three ways discussed in part (a).Case 1: n-1 digits with no 0'sThere are 4 choices for each of the n-1 digits, since 0 cannot be used. Therefore, there are 4^(n-1) such sequences with no 0's.Case 2: n-1 digits with at least one 0 before the first 3The first 3 can be in any of the n-1 positions, and the digits before it must be chosen from the set {0,1,2,4}. The remaining digits can be chosen in any of the 4 choices. Therefore, there are 5*(n-1)*4^(n-2) such sequences.Case 3: n-1 digits with 3 before 0We start by selecting one of the n-1 positions for the 3, then the remaining digits are chosen from the set {0,1,2,4}. There are (n-2) positions left for the remaining digits. There are 4 choices for each position, since 0 cannot be used. Therefore, there are 5*(n-1)*4^(n-2) such sequences.Thus, the total number of n-digit quinary sequences with at least one 3 and with the first 3 before the first 0 isIn = 5*4^(n-1) + 5*5*4^(n-2) + 5*(n-1)*4^(n-2) = qn+1 - qn = 132(n-1) + 4^n + 3 - (39(n-1) + 5(n-1)) = 93(n-1) + 4^n + 3which completes the induction proof.Part d:Since qn = 39n-1 + 5n-1, we haveqn+1 - qn = 132n - 39n - 5n = 88nTherefore, qn+1 = qn + 88nSubstituting qn = 39n-1 + 5n-1, we getqn+1 = qn + 88n = 39n-1 + 5n-1 + 88n = 39n + 5n + 88(n-1)Simplifying, we getqn+1 = 132(n-1) + 4^n + 3Therefore, en = In - In-1 = 93(n-1) + 4^n + 3 - 93(n-2) - 4^(n-1) - 3= 93n - 93(n-1) - 4^(n-1)= 93 - 4^(n-1)Thus, the closed form for en is en = 93 - 4^(n-1).

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HELP MEEEEEE i dont get it my teaher didnt teach me dis??

Answers

Answer:

6

Step-by-step explanation:

because  i had the same question and the departments where 6

Answer:

Hey! I can teach you this.

The range is the distance between the highest and lowest numbers.

In this case, the lowest number is 3, and the highest is 54, making the range 54 - 3, which is 51.

Because 3 is 51 away from 54. I hope this helps you!

Do social recommendations increase statectiveness? Astudy of the video viewers compared wwers who arnved at an advertising video tra pariatrand by two abarcaron noviewers who won by web Browong Data whited on whether the virtud.comly call band being studerende The results on We Trust you to recommandations?

Answers

Yes, based on the information, it should be noted that social recommendations can increase ad effectiveness.

How to explain the information

The study you mentioned found that viewers who arrived at an advertising video through social media recommendations were more likely to correctly recall the brand being advertised than viewers who arrived by browsing. This is because social recommendations come from people we trust, and we are more likely to be influenced by their opinions.

First, social recommendations are more personalized. They are based on the interests of the person who is making the recommendation, so they are more likely to be relevant to the person who is receiving the recommendation. Second, social recommendations are more credible. We trust the opinions of our friends and family, so we are more likely to believe their recommendations. Third, social recommendations are more timely. They are shared in real time, so they are more likely to be relevant to the current moment.

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Let 21, a2, a3 be a sequence defined by a1 = 1 and ak = 2ak-1 . Find a formula for an and prove it is correct using induction.

Answers

The formula for the sequence is an = [tex]2^n[/tex], where n is a positive integer. This formula is proven correct using mathematical induction.

To find a formula for the sequence defined by a1 = 1 and ak = 2ak-1, we can use mathematical induction to establish a pattern and then derive the formula. Here's how we can solve it step by step:

Step 1: Base case:

For k = 1, we have a1 = 1.

Step 2: Assume the formula holds for some positive integer n, where n ≥ 1.

Assume that an = [tex]2^{n-1[/tex] for some positive integer n.

Step 3: Use the assumption to prove the formula for the next term.

Now, let's prove that an+1 = [tex]2^n[/tex] holds.

Using the recursive formula ak = 2ak-1, we have:

an+1 = 2an

Substituting the assumed formula an = [tex]2^{n-1[/tex], we get:

an+1 = 2([tex]2^{n-1[/tex])

To simplify, we have:

an+1 = [tex]2^n[/tex]

Step 4: Conclusion:

Based on the assumption and the proof for the next term, we can conclude that the formula an = [tex]2^n[/tex] holds for all positive integers n ≥ 1.

Therefore, the formula for the sequence defined by a1 = 1 and ak = 2ak-1 is an = [tex]2^n[/tex].

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question is on the picture

Answers

Answer:

12/5

Step-by-step explanation:

Pythagorean theorem=> adjacent side=5

tanx=oppx/adjx

tanx=12/5

The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?

Answers

Answer:

1.8 inches

Step-by-step explanation:

Create a proportion where x is the distance on the map

[tex]\frac{1}{55}[/tex] = [tex]\frac{x}{99\\}[/tex]

Cross multiply and solve for x

55x = 99

x = 1.8

So, the distance on the map is 1.8 inches

Answer:

1.8 inches

Step-by-step explanation:

Scales on a map always represent the direct proportion.

Compare the distances as fractions:

Inches on the map

________________  =  [tex]\frac{1}{55} = \frac{x}{99}[/tex]

Miles on the ground

[tex]x = \frac{1x99}{55}[/tex]

[tex]x = \frac{99}{55}[/tex]

[tex]x = \frac{9}{5} = 1\frac{4}{5}[/tex]

x = 1.8 inches

The cutting department of Pharoah Manufacturing has the following production and cost data for July.

Production

Costs

1.

Completed and transferred out 12,500 units.
Beginning work in process

$-0-
2.

2,850 units in ending work in process inventory are 60% complete
Direct materials

42,980
in terms of conversion costs and 100% complete
Direct labour

15,700
in terms of materials at July 31.
Manufacturing overhead

18,404

Materials are entered at the beginning of the process. Conversion costs are incurred uniformly throughout the process.

(a)

Correct answer icon

Your answer is correct.

Determine the equivalent units of production for materials and conversion costs.

Direct Materials

Conversion Costs

Total equivalent units

enter a number of units enter a number of units
eTextbook and Media

Attempts: unlimited

(b)

Calculate unit costs and prepare a cost reconciliation schedule. (Round unit costs to 2 decimal places, e.g. 15.25.)

Unit costs

Direct materials

$enter a dollar amount rounded to 2 decimal places
Conversion costs

$enter a dollar amount rounded to 2 decimal places
Cost Reconciliation Schedule

Costs accounted for

Completed and transferred out

$enter a dollar amount
Work in process inventory, July 31

Direct materials

$enter a dollar amount
Conversion costs

enter a dollar amount enter a subtotal of the two previous amounts
Total costs

Answers

a) The determination of the equivalent units of production for materials and conversion costs is as follows:

Equivalent units of production:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850                1,710

Total equivalent units                  15,350       15,350              14,210

b) The calculation of the unit costs is as follows:

Unit costs:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

c) The preparation of the cost reconciliation schedule is as follows:

Cost Reconciliation Schedule:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

Ending work in process          $7,980                   $4,104          $12,084

Total costs accounted for    $42,980                 $34,104         $77,084

What are equivalent units?

Equivalent units are the multiplication of the number of physical (or actual) units on hand by the percentage of completion of the units.

1. Completed and transferred out 12,500 units.

2. Beginning work in process = $0

Ending work in process = 2,850 units 60% complete

Production Costs

Direct materials costs = $42,980 100% complete in terms of materials at July 31.

Direct labour = $15,700

Manufacturing overhead = $18,404

Total conversion costs = $34,104 ($15,700 + $18,404)

Equivalent units of production:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850 (100%)    1,710 (60%)

Total equivalent units                  15,350       15,350              14,210

Unit costs:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

                                 ($42,980 ÷ 15,350)    ($34,104 ÷ 14,210)

Cost Reconciliation Schedule:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

                                 (12,500 x $2.80)              (12,500 x $2.40)

Ending work in process          $7,980                   $4,104          $12,084

                                   (2,850 x $2.80)              (1,710 x $2.40)    

Total costs accounted for    $42,980                 $34,104         $77,084

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Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is

Answers

Answer:

Negative

Step-by-step explanation:

From the scatter plot displayed, we could clearly observe the direction of the trend line as it produces a negative slope. For high values of y, the values of x are low and similarly, high values of x have low y values. Therefore, this kind of relationship between the two variables is considered negative.

Simplify the problem.

Answers

Answer:

Option 4: 4¹¹

Step-by-step explanation:

Looking at the problem, I need to work out 4⁴ squared first, which is the same as 4⁸. Then multiply that by 4³ to get 4¹¹. What I did was simply add 3 + (4 * 2), which is 11.

Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years

Answers

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct


The relation R is defined on set A = {23, 51, 36, 75, 35, 11,
102, 9, 10, 29}, and aRb means a ≡ b (mod 3)
Explain and Draw R in Digraph Notation

Answers

relation R on set A = {23, 51, 36, 75, 35, 11, 102, 9, 10, 29}, aRb means a ≡ b (mod 3), which indicates that a and b have the same remainder when divided by 3.

In the given relation R on set A = {23, 51, 36, 75, 35, 11, 102, 9, 10, 29}, aRb means a ≡ b (mod 3), which indicates that a and b have the same remainder when divided by 3.

To represent this relation R in digraph notation, we can draw a directed graph where each element of set A is represented as a node, and there is a directed edge from node a to node b if aRb holds true.

Let's go through each element of set A and determine the directed edges based on the given relation R:

1. For 23, its remainder when divided by 3 is 2. Therefore, there will be an edge from 23 to itself.

2. For 51, its remainder when divided by 3 is 0. There will be an edge from 51 to itself.

3. For 36, its remainder when divided by 3 is 0. There will be an edge from 36 to itself.

4. For 75, its remainder when divided by 3 is 0. There will be an edge from 75 to itself.

5. For 35, its remainder when divided by 3 is 2. There will be an edge from 35 to itself.

6. For 11, its remainder when divided by 3 is 2. There will be an edge from 11 to itself.

7. For 102, its remainder when divided by 3 is 0. There will be an edge from 102 to itself.

8. For 9, its remainder when divided by 3 is 0. There will be an edge from 9 to itself.

9. For 10, its remainder when divided by 3 is 1. There will be an edge from 10 to itself.

10. For 29, its remainder when divided by 3 is 2. There will be an edge from 29 to itself.

In this digraph, each node represents an element from set A, and the directed edges indicate the relation R (a ≡ b mod 3).

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Find the lateral surface area.

Answers

Answer:

Step-by-step explanation:

3 apples cost $1.00. How many apples for $2.00

Answers

Answer:

6 apples

Step-by-step explanation:

3 apples cost $1.00

so for $2.00, 2x3÷1=6

hope it helps. plz mark me as brainliest.

Answer:

6 apples

Step-by-step explanation:

if three apples are 1 dollar then every time you add a dollar you would get three more apples

so it would look somthing like

1$ = 3 apples

2$= 6 apples

3$= 9 apples  

4$= 12 apples

so on

I NEED HELP ASAP!!!!!!

Answers

Answer:

I give bases example the triangle pyramid

if 7 is 100 % how much is 2 in %

Answers

28.571429% that is 2

hope this helped

Answer:

50% Is the answer

The green house is made completely of glass, except for the door. The entire building is 15 feet tall. The height of the vertical walls is 10 ft. The green house is 20 ft long (on side with door) and 16 feet wide. The triangles that make up the roof are isosceles triangles (both sides are equal and height is measured at the middle of the base). The door is 8 feet wide and 7 feet tall. Answer each of the following questions about your greenhouse.

Hose for watering the plants will be run along the entire outer edge of the floor, and up, around
the door. How much hose will be needed for this task?

Answers

A hose will be needed vertical walls to run along the entire outer edge of the floor and up around the door of the greenhouse 88 feet .

To calculate the length of the hose needed to run along the entire outer edge of the floor and up around the door of the greenhouse, we need to consider the perimeter of the floor and the additional distance around the door.

The perimeter of the floor is the sum of the lengths of all four sides of the rectangle. Since the greenhouse is 20 ft long and 16 ft wide, the perimeter of the floor is:

Perimeter of floor = 2(length + width) = 2(20 ft + 16 ft) = 2(36 ft) = 72 ft

In addition to the floor perimeter, to account for the distance around the door. The door is 8 ft wide, so the additional distance around the door is:

Distance around door = 2(width of door) = 2(8 ft) = 16 ft

calculate the total length of the hose needed by adding the perimeter of the floor and the distance around the door:

Total length of hose = Perimeter of floor + Distance around door = 72 ft + 16 ft = 88 ft

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What is the complement of an angle of 41°?
(A) 41°
(B) 49°
(C) 139°
(D) 90°
(E) 180°

Answers

B) 49. 90-41=49. Complement is any number subtracted to equal 90

Help please this math is hard

Answers

The answer is 10.35 because 63756 times 60 is 3825360 and 5280 times 70 is 369600 and if you divide those two answers it is 10.35

50 points
The frequency table below shows the length of selected movies shown in a local
theater over the past six months.

Answers

Answer:

Lol its in total of 34

Step-by-step explanation:

A bag contains 4 blue coins and 7 red coins. A coin is removed at random and placed by three of the other color.

What is the probability that the removed coin is blue?​

Answers

Answer:

The probability is 7/11

Step-by-step explanation:

This is because there are 7 blue coins that you can grab out of 11 coins in total.

If the coordinate of A is (0,-2) and the coordinate of B is (10,-6), then the midpoint of AB is (______).

Answers

Answer:

5, -4

Step-by-step explanation:

midpoint = x1 + x2/2 ,y1 + y2/2

= 0 + 10 /2 , -2 + -6/2

= 10/2 , -8/2

midpoint = 5, -4

Your class is planning a breakfast bake sale and you have been tasked to bake the donuts and bagels. The system below represents the total amount of flour, in pounds, needed to replicate a batch-of-six bagel recipe and a batch-of-twelve donut recipe. You will be replicating the donut recipe d number of times and the bagel recipe b number of times. 3d + 5b = 21 d + b = 5

Answers

Answer:

3 bagel recipe and 2 doughnut recipes are needed

Step-by-step explanation:

Given the expression

3d + 5b = 21 .. 1

d + b = 5 .... 2

We can use the expression to look for the amount of doughnut recipe and bagel recipe needed by solving the equations simultaneously

Multiply equation 1 by 1 and 2 by 3 to have;

3d + 5b = 21 .. 3

3d + 3b = 15 .... 4

Subtract 3 from 4

5b - 3b = 21 - 15

2b = 6

b = 6/2

b = 3

Substitute b = 3 into equation 2;

From 2,

d = b = 5

d + 3 = 5

d = 5 - 3

d = 2

Hence 3 bagel recipe and 2 doughnut recipes are needed

find the measure of each interior angle of a regular polygon with the following number of sides 4​

Answers

Answer:

90°

Step-by-step explanation:

Formula to find EACH interior angle:

[tex]\frac{(n-2) *180}{n}[/tex]

Given:

n (number of sides) = 4

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(4-2) *180}{4} \\\\\frac{(2) *180}{4} \\\\\frac{360}{4} \\\\90[/tex]

Consider an insulated uniform metal rod of length a with exposed ends and with thermal diffusivity 1. Suppose that at t = 0 the temperature profile is 1 0 (x,0) = 10 + sin 3x + 20 sin 5x = 2 sin 7x, but then the ends are held in ice at 0° C. When t is large, the temperature profile is closely approximated by a sinusoidal function of x whose amplitude is decaying to 0. What is the angular frequency of that sinusoidal function? (Hint: Start with the general solution to the heat equation with boundary conditions, and then match it to the given initial condition.)

Answers

The angular frequency of the sinusoidal function that approximates the temperature profile when t is large is 7π.

The general solution to the heat equation with boundary conditions is u(x,t) = A sin(kx) e^(-kt) + B cos(kx) e^(-kt), where k is the wavenumber and t is time. The wavenumber is related to the angular frequency by k = 2π/a, where a is the length of the rod. In this case, k = 7π/a. Therefore, the angular frequency is 7π.

The amplitude of the sinusoidal function will decay to 0 as t approaches infinity. This is because the exponential term e^(-kt) will decrease as t increases.

The initial condition u(x,0) = 10 + sin 3x + 20 sin 5x + 2 sin 7x can be matched to the general solution by setting A = 10, B = 0, k = 3, and k = 5.

The boundary conditions u(0,t) = u(a,t) = 0 can be satisfied by setting A sin(3a) e^(-kta) + B cos(3a) e^(-kta) = 0 and A sin(5a) e^(-kta) + B cos(5a) e^(-kta) = 0. These equations can be solved to find A = 0 and B = 0.

The solution u(x,t) = 0 is a sinusoidal function of x whose amplitude is decaying to 0. The angular frequency of this function is k = 2π/a = 7π.

Learn more about sinusoidal function here:

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I think it’s b but I’m not sure but can somebody help me

Answers

Answer:

B

Step-by-step explanation:

The small triangle is half the size of the entire triangle. 27/2 = 13.5

Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error ​

Answers

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

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