How do you do this question?

How Do You Do This Question?

Answers

Answer 1

Step-by-step explanation:

F(x) = ∫ₓᵃ sin(2t) dt

Use the identity:

-F(x) = ∫ₐˣ sin(2t) dt

Take derivative using fundamental theorem of calculus.

-F'(x) = sin(2x)

F'(x) = -sin(2x)


Related Questions

The larger of two numbers is 7 less than twice the
smaller number. If the sum of the numbers is 47,
find both numbers.

Answers

Answer:

larger number=29;smaller number=18

Step-by-step explanation:

let assume the two numbers are X and Y

where X is the larger number and Y is the smaller number.

From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;

X=2Y - 7→→→→→→ equation 1

Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;

X + Y = 47→→→→→→ equation 2

Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.

collecting like terms we have

2Y + Y = 47 + 7

solving arithmetically we have;

3Y = 54

divide both sides by 3 we have;

Y = 18.

Now if you recall from equation 1;

X = 2Y - 7;

since we now know Y as 18 we substitute Y as 18 in equation one then we have;

X = 2(18) - 7;

X =36 - 7

X = 29.

If A and B are 4 * 6 matrices and C is a 7 * 4 matrix, which of the following are defined?
1. CA.2. B^T * C^T.3. AC.4. A-B.5. B-C.6. B^T.

Answers

Answer:

1. CA is defined

2. B^T * C^T defined

3. AC is NOT defined

4. A - B is defined

5. B - C is NOT defined

6. B^T is defined

Hence, 1,2,4, and 6 are defined

Step-by-step explanation:

Order of the matrices:

Matrix A is a (4 × 6) matrix  

Matrix B is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

To determine which are defined

1. CA

CA means product of Matrix C and Matrix A

To determine the product of two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. For example, given that matrix X is a (m × n) matrix, matrix Y is a (n × k) matrix and matrix Z is (k × n) matrix. From the definition above,

XY can be determined because number of columns in X equals number of rows in Y

XZ cannot be determine  because number of columns in X is not equal to the number of rows in Z.

YZ can be determined because number of columns in Y equals number of rows in Z

(NOTE: A matrix of order (m × n) means the matrix has m rows and n columns)

Hence, for CA

Matrix C is a (7 × 4) matrix

Matrix A is a (4 × 6) matrix

Number of columns in C equals number of rows in A, hence CA is defined

2. B^T * C^T

B^T means transpose of matrix B

Transpose of a matrix is defined as a new matrix whose rows are the same as the columns of the original matrix and whose columns are the rows of the original matrix. Hence, for a matrix of order (m × k), the transpose of the matrix will have an order (k × m).

Hence,

Matrix B is a (4 × 6) matrix

∴B^T gives a matrix of order (6 × 4)

Matrix C is a (7 × 4) matrix

∴ C^T gives a matrix of order (4 × 7)

Since the number of columns in B^T equals the number of rows in C^T, then  B^T * C^T defined

3. AC

Matrix A is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

The number of columns in A is NOT equal to the number of rows in C, hence AC is NOT defined

4. A - B

To find the difference between two matrices, the matrices must have the same order.

Matrix A is a (4 × 6) matrix  

Matrix B is a (4 × 6) matrix

Since matrices A and B have the same order [(4 × 6)], hence A - B is defined

5. B - C

Matrix B is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

Since matrices B and C are of different orders [(4 × 6) and (7 × 4) respectively], then B - C is NOT defined

6. B^T

B^T means the transpose of matrix B

Matrix B is a (4 × 6) matrix

From the above definition

B^T gives a (6 × 4) matrix

Hence, B^T is defined

The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers.

Which statement describes the limitation for the reasonable range compared to the mathematical range

Answers

Answer:

The limitation for the resonable range restricts it to postive ral numbers

Step-by-step explanation:

What is
2+2?
I been trying to figure it out, but I’m stuck on this question

Answers

Answer:

4

Step-by-step explanation:

How much shorter is the handle than the top of the screwdriver?

Answers

Answer:

Hey There! Here's Ur Answer

Step-by-step explanation:

one at their standard length of 45-3/4 inches, the other two inches shorter.

Happy to Help!

Which number is IRRATIONAL?

Answers

Answer:

A

Step-by-step explanation:

because no square root in in 12

Answer:

[tex]\sqrt{12}[/tex]

If a square root is not a perfect square, then it is an irrational number

[tex]ANSWER =\\\sqrt{12} \\\\=2\sqrt{3}[/tex]

Step-by-step explanation:

A diamond ring cost $3500 in 2018. However, it increased in value by 4% in 5 point
2019 and 8% in 2020. What does the ring cost in 2020 ?

Answers

Answer:

The ring in 2020 costs around $3,931.2.

Step-by-step explanation:

We know how much the ring cost in 2018 and we know the percentages of the value as years go by.  

To solve this, we will need to put the percentages into decimals, and since we are adding value, add an additional 1 [whole] in both decimals.

Should look like this:

2019: 1.04

2020: 1.08

Multiply the cost with the first year:

3500 x 1.04 = 3640

The ring costs $3,640 in 2019.

Then it says the ring went up by %8 percent in 2020.

Multiply the cost from last year with the current year:

3500 x 1.08 = 3931.2

The ring costs $3,931.2 in 2020.

I hope this helps!

WhAt is the value of y

Answers

6√3 is the value of y...

Carries first three children were boys. If she has more children, they will all be boys. Is this deductive or inductive reasoning?

Answers

Answer:

Inductive reasoning

Step-by-step explanation:

Inductive reasoning is when you make a false assumption based on previous knowledge you had before. The previous fact will often be referring to just a certain amount/set of things.

Deductive reasoning is when you have previous knowledge and you make a claim that is correct based on the knowledge before. The previous fact will often be referring to a whole set of things, not limited to a certain number.

The fact here is that Carrie's first three children were boys. This doesn't necessarily mean all of her upcoming children will be boys. So this is inductive reasoning.

Hope this helped!

Answer:

inductive

Step-by-step explanation:

Inductive

PLEASE SOMEONE HELP ME
The bar graph shows changes in price of regular gasoline from 1996–2010.

For example, at the end of 1996, the price per gallon for regular gasoline was

$0.15 more than the price per gallon at the end of 1995, the price at the end

of 1997 was $0.12 less than the price at the end of 1996, and so on.


1. Find the average change in the price of regular gasoline for the given years.

a. 1996–2002 b. 2003–2010 c. 1996–2010

2. The price per gallon for regular gasoline at the end of 1995 was $1.08. In what

year was the price per gallon for regular gasoline the lowest? What was the

price? Explain how you found your answer.

3. How many times greater is the price per gallon in 2010 than the price per

gallon in 1996? Price change (dollars per gallon)

Answers

Answer:

The answer is 5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

I hope this helps!!;-)

Write the following sentence using mathematical symbols. The sum of 10 and x is -13. ​"The sum of 10 and x is -13​" in mathematical symbols is..

Answers

Answer:

10 + x = -13

Step-by-step explanation:

The sum of 10 and x is -13.

10 + x = -13

8(1 + 5x) + 5= 13 + 5x

Answers

Answer:

0 will be answer as shown in image

2. "three times the sum of a number and 7”.

Answers

Answer:

3 * (7 + n)

Step-by-step explanation:

Three times - '3 *'

The sum of a number and 7 -  '(7 + n)'

"Three times the sum of a number and 7” would be '3 * (7 + n)'.

Hope this helps.

The required equation is 3*(n + 7).

It is required to find the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be n.

The sum of a number and 7 is  n + 7

Three times the sum of a number and 7 is

3*(n + 7).

Therefore, the required equation is 3*(n + 7).

Learn more about equation here:

brainly.com/question/17351613

#SPJ2

 

What is Half a cup in a fraction? .........

Answers

Answer:

1/2

Step-by-step explanation:

One cup is 1.

Half of a cup in decimals is 0.5, and in fraction 1/2

Answer:

it would be 1/2

1/2 a cup

A point lies in the _____ of an angle if it lies between the rays that form the angle. *

Answers

Answer:

I believe it is the vertex, of an angle.

Step-by-step explanation:

It is the vertex, because that is what you would call the bottom point of an angle.

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. A point lies in the interior of an angle if it lies between the rays that form the angle.

What is an angle?

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.

An angle has two rays and the area that lies between the two rays is known as the interior of the angle, while the area that is not between the two rays is the exterior of the angle.

Therefore, A point lies in the interior of an angle if it lies between the rays that form the angle.

Learn more about Angle:

https://brainly.com/question/7116550

#SPJ5

find the position vectors of the points which trisect the line joining the points whose position vectors are i+2j+7k and 3i+j-k

Answers

Answer:

Step-by-step explanation:

you should have to find two position vectors between the given positional vectors . to find the first position vector take the ratio 1:2 internally and for the second positon vector take the ratio 2:1 as it is trisectedusing the position vector formula we get the respective answer's

Write these numbers in order of size,
smallest first:
a 8810 m, 8.9 km, 8901 m, 8.821 km,
8812 m, 8.8 km

Answers

Answer:8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Step-by-step explanation:

8810 m, 8.9 km, 8901 m, 8.821 km,  8812 m, 8.8 km

which mean

8810 m, 8900 m, 8901 m, 8821 m, 8812 m, 8800 m

arrange accordingly

8800 km, 8810 m, 8812 m, 8821 m, 8900 m, 8901 m

convert back

8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Answer:

8.8km , 8810m , 8812m , 8.821km , 8.9km , 8901m

Step-by-step explanation:

1km = 1000m

Convert values in km to m by multiplying them by 1000

8.8km × 1000 = 8800m

8.821km × 1000 = 8821m

8.9km × 1000 = 8900m

6.009 in expanded form

Answers

Answer:

6.009 = (6 x 1) . (0/10) + (0/100) + (9/1000)

Step-by-step explanation:

6+.009 right?

Snsnbshshhahjsjsjs

The graph of the function f is shown. The domain of f is [0, 50]. What is the range of g(x) = 4f(x)? PLEASE HELP!

Answers

Answer: the range of g(x) is [0, 7]

Step-by-step explanation:

The domain is the set of the possible values of y.

We can see that, for y = f(x) in the domain [0, 50]

The smallest possible value of y is 0, and the largest possible value of y is 1.75 (at x = 25).

Then the range of f(x) is [0, 1.75]

Now, if we have the function g(x) = f(x)*4

Let's analyze the possible values of g(x) in these extremes of the range of f(x).

when f(x) is in the minimum, f(x) = 0, we have that g(x) is:

g(x) = f(x)*4 = 0*4 = 0.

So 0 is the minimum in the range of g(x).

Now, for the maximum of f(x) (f(x) = 1.75) we have:

g(x) = f(x)*4 = 1.75*4 = 7

Then the range of g(x) is [0, 7]

SOME ONE HELP ME PLZ FAST it's already late

Question Example Step by Step Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. Sara wants to paint a wall. The length and width of the wall are 3 meters and 1.8 meters, respectively. The minimum possible area is about m2. The maximum possible area is about m?​

Answers

Answer:

4

Step-by-step explanation:

i need help understanding this problem, any help is appreciated :)​

Answers

Answer:

B = 31.467 °

Step-by-step explanation:

Sides:

a = 13 cm

b = 9 cm

c = 17 cm

Angles:

A = 48.939 °

B = 31.467 °

C = 99.5941 °

Other:

P = 39 cm

s = 19.5 cm

K = 57.6818 cm2

r = 2.95804 cm

R = 8.62057 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Formula: SSS is Side, Side, Side

Given the sizes of the 3 sides, you can calculate the sizes of all 3 angles in the triangle.  Use The Law of Cosines to solve for the angles.  You could also use the Sum of Angles Rule to find the final angle once you know 2 of them.

please someone help me, i will give brainliest

Answers

Answer:

Both of them are the same measure: 45 degrees.

Step-by-step explanation:

You plug in 15 for the xin both of the equations they give.

3(15) +17=45

75-2(15)=45

What is the difference in kilowatt hours of monthly energy production between an a erage local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour?

Answers

Answer:

The difference in energy production in kilowatt hours of monthly energy produced between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is approximately 9 kWh

Step-by-step explanation:

We note that the energy produced is given by the formula;

Energy = 1/2 × m × v²

From which we have the energy per unit mass = 1/2 × v²

The energy produced by the wind traveling at 15 miles per hour is given as follows;

15 mph = 6.705 m/s

The energy per unit mass produced in a month of 30 days is therefore;

1/2×6.705²×60×60×24×30 = 58264304.4 J/kg

We note that 1 Kilowatt hour = 3.6 × 10⁶ Joules

Therefore;

58264304.4 J = 58264304.4 J/(3.6 × 10⁶) kWh = 16.184529 kWh

The energy produced by the wind traveling at 10 miles per hour is given as follows;

10 mph = 4.47 m/s

The energy per unit mass produced in a month of 30 days is therefore;

1/2×4.47²×60×60×24×30 = 25,895,246.4 J/kg

We note that 1 Kilowatt hour = 3.6 × 10⁶ Joules

Therefore;

25,895,246.4  J = 25,895,246.4 J/(3.6 × 10⁶) kWh = 7.193124 kWh

The difference in energy production in kilowatt hours of monthly energy produced between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is therefore;

16.184529 kWh - 7.193124 kWh = 8.991405 kWh. ≈ 9 kWh

Find the square root of this complex number -5+12i ? Solve

Answers

Answer:

Well you can't simplify the question anymore so I believe the question is the answer

Step-by-step explanation:

There is no equal sign so it can't be simplified anymore because it says 12i you can't combined 12i with -5 because of the variable

what's the answer for the question find the following Figure angle x and y angle z
from the degrees and go 47 degrees​

Answers

where is figure????????????????????

3(n+1)=5.4 Solve for n

Answers

Answer:

n =0.8

Step-by-step explanation:

[tex]3(n+1)=5.4[/tex]

Expand ; 3(n+1)

[tex]3(n+1) =3n +3\\\\3n+3 =5.4[/tex]

Collect like terms and simplify

[tex]3n =5.4-3\\3n=2.4[/tex]

Divide both sides of the equation by 3

[tex]\frac{3n}{3} = \frac{2.4}{3} \\\\n = 0.8[/tex]

Answer:

The value of n is 0.8 .

Step-by-step explanation:

First, you have to expand to get rid of brackets :

[tex]3(n + 1) = 5.4[/tex]

[tex]3n + 3 = 5.4[/tex]

Next, you have to subtract 3 on both sides to remove 3 at the left side :

[tex]3n + 3 - 3 = 5.4 - 3[/tex]

[tex]3n = 2.4[/tex]

Lastly, you have to divide 3 on both sides :

[tex]3n \div 3 = 2.4 \div 3[/tex]

[tex]n = 0.8[/tex]


3. While trick or treating with his buddies, Albert noticed he received 7 Kit Kat bars after
visiting 10 houses. If they plan on visiting 65 houses, how many Kit Kat bars might he receive
by the end of the night?

Answers

So 7 kk bars per 10 houses.
So all you have to do in this problem is multiply the amount with 6 and you can get the amount for 60 houses: 42
And then you can divide half of 7 to get the amount for 5 houses. However, we cannot use decimals in this problem. So round the amount: 3.5=4

So approximately Albert should get somewhere near 46 kk bars.

Prove the statement using the ε, δ definition of a limit. lim x → 1 4 + 2x 3 = 2

Given ε > 0, we need δ ---Select--- such that if 0 < |x − 3| < δ, then 2 + 1 3 x − 3 ---Select--- . But 2 + 1 3 x − 3 < ε ⇔ 1 3 x − 1 < ε ⇔ 1 3 |x − 3| < ε ⇔ |x − 3| < ---Select--- . So if we choose δ = ---Select--- then 0 < |x − 3| < δ ⇒ 2 + 1 3 x − 3 < ε. Thus, lim x → 3 2 + 1 3 x = 3 by the definition of a limit.

Answers

You want to prove

[tex]\displaystyle\lim_{x\to1}\frac{4+2x}3=2[/tex]

By the definition of the limit, this means that for any [tex]\varepsilon>0[/tex], we can find [tex]\delta>0[/tex] such that

[tex]|x-1|<\delta\implies\left|\dfrac{4+2x}3-2\right|<\varepsilon[/tex].

In order to get the inequality we want, we need to have

[tex]\left|\dfrac{4+2x}3-2\right|=\left|\dfrac{2x-2}3\right|=\dfrac23|x-1|<\varepsilon\implies|x-1|<\dfrac{3\varepsilon}2[/tex]

so we can pick [tex]\delta=\frac{3\varepsilon}2[/tex].

So here's the proof: Let [tex]\varepsilon>0[/tex] be given, and let [tex]\delta=\frac{3\varepsilon}2[/tex]. Then

[tex]|x-1|<\delta=\dfrac{3\varepsilon}2[/tex]

[tex]\implies\dfrac23|x-1|<\varepsilon[/tex]

[tex]\implies\left|\dfrac{2x-2}3\right|=\left|\dfrac{2x+4}3-1\right|<\varepsilon[/tex]

as required.

simplify the fraction 34%

Answers

The questions asks us to simplify the fraction 34%, first convert that into a decimal which would be .34, then change that as a fraction which would be [tex]\frac{17}{50}[/tex]

Answer:

brainliest plssssss

Step-by-step explanation:

answer is in the img below

=> Please Help Me With My Math <=

Answers

Answer:

B

Step-by-step explanation:

Other Questions
HELP WILL GIVE BRAILEST AND WILL GIVE 50 POINTS!!!!! (also please tell me how you did it!) Simplify and Solve: 12x + 8 < 116 This ghost hunter claims that there is a ghost in the home. Is this a scientific claim? Why or why not? What were the 3 religious sects started during the reformation? EVALUATE !!!! ILL GIVE YOU BRAINLIST HAVE TO GET IT RIGHT !!!!N = 3/4 , x = 8 , y = 6 , m = 3 please someone help me to prove this... please answer this quick I need help Which term refers to the Israelites most sacred text? I NEED HELP PLEASEEEEGive a realistic example of each type of region and explain (in complete sentences) why it counts as that type of region.FormalPerceptualFunctional in geometry why do we use 3.14 rather than 3.14159?? If it takes 10 seconds to hear thunder when lightning is 4 miles away, determine how far away the lightning is when it takes 6 seconds to hear the thunder. miles What is 6.9 x 10^-3 in standard form? Suppose a community is considering constructing a large pool facility for use by the community residents. How might it go about conducting a feasibility study for a pool The perimeter of the rectangle and the triangle shown are the same. Write an equation to represent this situation, and solve for x. Then, find the perimeter of each shape. It is 60 Celsius on the crust of a volcano. What is this number in Kelvin? 5. Find the base of the triangle if its area is 48 sq. in and its height is 16 in. 10 points none of the options 9 in O 12 in 6 in El gobierno tiene que arreglar la contaminacion del aire para cuidar de nuestro_____ write a diary about injured pet A car full of people has passed an ascending section of track labeled B and is descending a section labeled A. Which section (A or B) of the roller coaster shows positive acceleration? Which section (A or B) of the roller coaster shows negative acceleration? If a company has a required rate of return of 15%, should the following project be accepted based on these expected cash flows below?Year 0 1 2 3 4 5 6 Cash Flow (274,000) 68,000 73,000 76,500 78,000 82,500 77,000 Please explain why or why not the company should move forward with this endeavor. using the map and what you have learned about colonial geography write a paragraph that describes the type of economic activity most likely to succeed in New England explain why those activities would be successful