Use limits to find the area between the curve of y = x and the x-axis for the interval from
x= 1 to x= 3.
Links will be reported.

Use Limits To Find The Area Between The Curve Of Y = X And The X-axis For The Interval Fromx= 1 To X=

Answers

Answer 1

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

[tex]\int\limits^3_1 {x} \, dx[/tex]

And the integral of x is equal to x^2/2

Then:

[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]

The area between the curves is 4 square units.


Related Questions

A bag contains 22 coins consisting of quarters and nickels. The total value of the coins is $3.90. How many nickels are in the bag? *

Answers

Answer:

8 Nickels

Step-by-step explanation:

Since a Nickel is worth 5 cents ($0.05)

And a Quarter is worth 25 ($0.25)

and theres 22 coins

8 of those coins would be nickels which would mean we add 8 nickels up

8 x 0.05 = 0.4

then we add the quarters up

14 x 0.25 = 3.5

3.5 + 0.4 = $3.90

You estimate that there are 60 marbles in a jar.The actual amount is 54 marbles. Find the percent error.Round to the nearest tenth of a percent if necessary

Answers

Answer:

the percent error is 10%

Step-by-step explanation:

Given that

The estimate value of the marbles is 60

And, the actual amount is 54 marbles

We need to find out the percent error

As we know that

Percent error = (Estimated - actual)  ÷ (Estimated) × 100

= (60 - 54) ÷ 60 × 100

= 10%

Hence, the percent error is 10%

We simply applied the above formula

Triangle ABC and DEF are similar. Find the length of segment EF

Answers

Answer:

12

Step-by-step explanation:

Create a ratio

AB : DE

5 : 4

BC : EF

15: x

5/4 = 15/x

5x = 15*4

5x = 60

x = 12

EF = 12

It’s 12=C because you have to multiply 15 and 4, then divide by 5 which equals 12. Please mark me as a brainiest

Where Do Aliens Leave Their Spaceships? **I have the answer key image!!**

Answers

Write the ictter of the correct answer in the box containing the exercise number. If the answer has a shade in the box

The area of a rectangle is found by using the formula A=l×w
, where A
is the area, l
is the length, and w
is the width. A rectangular desk top has an area of 18
square feet. The length of the desk is 6
feet. What is the width of the desk? Write and solve an equation.

Answers

Answer:

The width of the desk is 3

Step-by-step explanation:

plug in what you already have and solve.

A= l x w

18=6x w

when you solve for w you get 3

can someone help me with this? it’s linear regression and i forgot how to do it

Answers

I'll do problem 1 to get you started. The completed filled out table is shown below in the attached image.

We have x as the input and y as the output. The observed value is the second column, and this is the actual y value we're aiming for. The predicted value is an estimation based on what the linear regression line says. The residual is the error or gap between the observed and predicted.

With that in mind, let's fill out the table. In the first row, we have x = 5 pair up with y = 3. The predicted y value is y = 0.5x = 0.5*5 = 2.5, meaning we'll write "2.5" without quotes in the first blank space of that first row. The residual is

e = error or residual

e = (observed y value) - (predicted y value)

e = (3) - (2.5)

e = 0.5

A positive residual means that the observed y value is larger than the predicted one. The predicted y value is an under-estimate. We'll write "0.5" without quotes underneath "residual" in the first row.

-------------------

We'll repeat the same steps for row 2

This time we have x = 10 lead to a predicted y value of y = 0.5*x = 0.5*10 = 5

The residual is

e = (observed) - (predicted) = (4) - (5) = -1

The negative residual tells us the observed value is smaller than the predicted one. The predicted value is an over-estimate.

--------------------

For row 3, we have the input x = 15 lead to a predicted y value of y = 7.5 since y = 0.5*x = 0.5*15 = 7.5

The residual is therefore: e = (observed y) - (predicted y) = (9) - (7.5) = 1.5

The nice thing about how this table is set up, is that the observed y values are listed first, then the predicted y values next. This may help you remember how the order of subtraction will go.

The steps for rows 4 through 6 are the same as mentioned earlier, so there's nothing new here.

The completed table for problem 1 is shown below in the attached image.

HELP ^^^^ ignore what i picked it was an accident

Answers

Answer:

everything is in the picture

2(3v + 4) + 5(2v − 3) =

Answers

Answer:16v-7

Step-by-step explanation: Simpley the expression

Help!!!! please!!!! ill give brainliest!!!!

Answers

Answer: The 2nd option is correct.

Step-by-step explanation:

Since you have started off with 4 players, the number line needs to start at 5, because 9 - 4 = 5. This gives us the answer of the second option, because it starts at 5 and goes to the positive side.

For which polygon is the sum of the interior angles equal to 5402

Answers

Answer:

32-gon

Step-by-step explanation:

5402 = (n - 2) · 180

5402/180 = n-2

30 = n-2

32 = n

MARKING BRAINLIEST IF U HELP 19 - s = 13; s = -6 yes no question

Answers

Answer:

Step-by-step explanation:

We have the equation 19 - s = 13, and are asked to determine whether s = -6 fits in.

To solve, we need to isolate "s", do as followed and subtract 19 from both sides :

s = -6

Since this is equal to what the question is asking, yes s = -6 is correct.

whoever answers first gets brainliest and 5-star thanks

Answers

Answer:

8/21

Step-by-step explanation:

Area of a rectangle is L*W so for only the shaded bits of the rectangle the length (1/7*4) would be 4/7 and the width would be (1/3*2) so 2/3. then you would multiply them togehter by finding multiplying the bottoms togther  and the tops together (4*2)/(7*3) this gives 8/21. Hope this helps!!

27 divided by 8 is what

Answers

Answer:

3.37

Step-by-step explanation:

Decimals: 3.375
Fraction: 3 3/8

The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?

Answers

the total cost of the meal is $73.83

what's the answer ?


[tex] \sqrt{72 \times 2} [/tex]

Answers

Answer:

[tex] \sqrt{72 \times 2} [/tex]=[tex] \sqrt{12²} [/tex]=±12 is your answer

Mhanifa please help!!!!!

Answers

Answer:

∠H≅∠B

GH/DJ = AB/DC

Step-by-step explanation:

Which algebraic expression is a polynomial?

4x2 – 3x + StartFraction 2 Over x EndFraction
–6x3 + x2 – StartRoot 5 EndRoot
8x2 + StartRoot x EndRoot
–2x4 + StartRoot 3 Over 2 x EndRoot

Answers

Answer:

Option B.) –6x3 + x2 – √5

Step-by-step explanation:

A is wrong because, polynomial expressions cannot have a variable as a denominator.

C is wrong because there is no constant.

D is wrong because, polynomial expressions cannot have a variable as a denominator.

Hope that helps! :-)

The algebraic expressions which is a polynomial is; Choice B: –6x3 + x2 –√5

What is a polynomial?

An algebraic expression, put simply is an expression made up of integer constants, variables, and the algebraic operators. For example, 5x² − 7xz + c is an algebraic expression.

A polynomial is all of the above and in addition, non-negative integer exponentiation of variables

Only choice B; satisfies this condition as to term in the expression is divided by a variable.

Read more on algebraic expressions;

https://brainly.com/question/90420

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.   Because opposite angles are congruent.

Answer:

yes

Step-by-step explanation:

because opposite angles are congruent

Which fraction shows the probability that lily will flip a heads, a tails, and then heads
again on a fair coin?

a. 1/8
b. 1/6
c. 1/4
d. 1/2

Answers

Answer:

d, 1/6

Step-by-step explanation:

so i did a diagram of some sorts to do this and got around six possible outcomes.

h is heads, t is tails.

h-h-h

t-t-t

h-t-h

t-h-t

t-t-h

h-h-t

feel free to correct me if any of this is wrong.

i think I have the right answer but I’m not sure
please help

Answers

Answer:

1c = 0.5pt

20x0.5=10 pt 0 c

Step-by-step explanation:

Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.

Answers

The independent variable would be how many lawns I mow
You could use any letter to represent it but I would use l for lawn

The dependent variable would be the amount I earn, $7,
Again you could use any letter to represent it but I would use d for dollar

36 into the ratio 5:4

Answers

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

i need help (links will be reported and wrong answers)

Answers

Answer:

40 cm^3

5 x 8 x 1

hope this helps

have a good day :)

Step-by-step explanation:

Took a pic for better quality ​

Answers

A seems like the most plausible answer

The measure of angle T is
degrees
M
82°
27°
A
T

Answers

Answer:5

Step-by-step explanation:bravado and you djdjdbd

NEED ASNSWER ASAP. The ratio of sugar to flour in a brownie recipe is 8:5. Kimo used 15 ounces of flour. How many ounces of sugar did Kimo use?

Answers

Answer:

5

Step-by-step explanation:

[tex]8:5=15:x\\8*x=15\\(8*x)/8=15/8\\x=1.875\\\\\frac{8}{5} *1.875=\frac{15}{x} \\\frac{8}{5} *1.875=3\\3=\frac{15}{x}\\x=5[/tex]

The point P(x, y) lies on the terminal side of an angle 0 = –60° in standard position. What are the signs of the values of x and y?

Answers

Answer:

X is positive

Y is negative

Step-by-step explanation:

Just take the cos of angle - 60 for X

and also take the sin of angle - 60 for Y

You will find x positive, and y negative

What is the volume of the soccer ball? Enter your answer in terms of TT and round to the nearest cubic centimeter.
11 cm
7 cm

Answers

Answer:

5575.28 cm

Step-by-step explanation:

The formula for volume of a sphere is  4/3 time (pie) time r and if your is 11 this should be right.

There are 4 blue socks and 6 white socks in a drawer. You select one sock without looking and then return it to the drawer. Then you choose another sock. Is this an independent or dependent event?

Answers

Answer:

I am pretty sure  it is dependent  

Let me know if it is wrong.

Convert the angle 17pi/12 radians to degrees.

Answers

Answer: 255°

Step-by-step explanation:

To convert an angle in radians to degree, we've to multiply it by 180/π. In this case, converting the angle 17pi/12 radians to degrees will be:

= 17π/12 × 180/π

= 17 × 15°

= 255°

The answer is 255°.

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