76 Answered Questions for the topic calc1

#### Evaluate the integral.

2
f(x) dx
−3
where f(x) =
3
if
−3 ≤ x ≤ 0
6 − x2
if
0 < x ≤ 2

11/16/21

#### Use the Fundamental Theorem of Calculus to find the derivative of the function.

Link to equation: https://ibb.co/k6s3vD9g'(x) = ?

04/11/21

#### Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x)=x2−2x−1; [0,4]

Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x)=x2−2x−1; [0,4]The absolute maximum value is...
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#### 11.5.35 Find the absolute minimum value on [0, ∞) for f(x)=x^2−6x+8. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

Find the absolute minimum value on [0, ∞) for f(x)=x^2−6x+8.Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A.The absolute minimum is...
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03/20/21

#### 10.2: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=10e^x+2x; x=0 y= ________

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)=10e^x+2x; x=0y= ________

03/19/21

#### Find dy/dx for the indicated function y. y=8^x+e^3

Find dy/dx for the indicated function y. y=8^x+e^3dy/dx= ___________ (Type an exact answer.)

#### 10.2: Find the equation of the line tangent to the graph of f at the indicated value of x.

Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 9 − 2 ln x; x=1y= ______

#### Q10.4: The rate of change of pressure at the end of 20 years is _______ mm/year. (Type an integer or decimal rounded to the nearest hundredth as needed.)

A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age.P(x)=50+25ln(x+3) 0≤x≤65P(x) is pressure measured in millimeters of...
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03/15/21

#### Recently, a certain bank offered a 5-year CD that earns 2.43% compounded continuously. (a) If $20,000 is invested in this CD, how much will it be worth in 5 years?

Recently, a certain bank offered a 5-year CD that earns 2.43% compounded continuously.(a) If $20,000 is invested in this CD, how much will it be worth in 5 years?approximately $________ ...
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#### Find the marginal revenue function. R(x)=x(29−0.03x)

Find the marginal revenue function.R(x)=x(29−0.03x)R′(x)= ______

#### Find the marginal cost function. C(x)=210+3.3x−0.07x^2

Find the marginal cost function.C(x)=210+3.3x−0.07x^2C′(x)= _______

#### 9.7: The total cost (in dollars) of producing x food processors is C(x)=2500+70x−0.1x^2.

The total cost (in dollars) of producing x food processors is C(x)=2500+70x−0.1x^2.(A) Find the exact cost of producing the 71st food processor.(B) Use the marginal cost to approximate the cost...
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03/10/21

#### If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x)=240x−16x^2, find the following.

If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x)=240x−16x^2, find the following.(A) The instantaneous velocity function...
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03/10/21

#### Find the marginal average cost function if cost and revenue are given by C(x)=144+5.8x and R(x)=9x−0.07x^2.

Find the marginal average cost function if cost and revenue are given by C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________

03/10/21

#### Find the marginal profit function if cost and revenue are given by C(x)=224+0.8x and R(x)=6x−0.05x^2.

Find the marginal profit function if cost and revenue are given by C(x)=224+0.8x and R(x)=6x−0.05x^2.P′(x)= ________

03/10/21

#### 9.7.11 Find the marginal cost function

Find the marginal cost function.C(x)=210+3.3x−0.07xC′(x) = ____________

12/17/20

#### If payments are made at the end of each period, how much money will be in the account in 6 years?

In order to accumulate enough money for a down payment on a house, a couple deposits $254 per month into an account paying 6% compounded monthly. If payments are made at the end of each period,...
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12/15/20

#### 3.3 Use technology and the future value formula to find i. FV=$7,426; PMT=$600; n=9; i=?

Use technology and the future value formula to find i.FV=$7,426; PMT=$600; n=9; i=?i=_______(Round to two decimal places as needed.)

12/15/20

#### . Find the probability that the spinner lands on blue. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S).

A circular spinner is divided into 9 sectors of equal area. There are 2 red sectors, 3 blue, 3 yellow, and 1 green. Consider the experiment of spinning the spinner once. Find the probability...
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12/15/20

#### An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black card?

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black card? Find the number of elements in event E, n(E), and the total number of...
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12/15/20

#### In a family with 5 children, excluding multiple births, what is the probability of having 5 girls? Assume that a girl is as likely as a boy at each birth.

In a family with 5 children, excluding multiple births, what is the probability of having 5 girls? Assume that a girl is as likely as a boy at each birth.Find the number of elements in event E,...
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12/14/20

#### Find and simplify the expression if f(x)=x2−4. f(7+h)

Find and simplify the expression if f(x)=x2−4.f(7+h)f(7+h)= _________(Simplify your answer. Do not factor.)

12/14/20

#### If one can is selected at random from the cooler, determine the probability that the soda selected is ginger ale, orange soda, or root beer.

A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of cola, 38 cans of orange soda, 11 cans of ginger ale, and 17 cans of root beer. The cans are all the same size...
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12/14/20

#### Find i (the rate per period) and n (the number of periods) for the following loan at the given annual rate.

Find i (the rate per period) and n (the number of periods) for the following loan at the given annual rate.Annual payments of $4,700 are made for 11 years to repay a loan at 4.85% compounded...
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12/14/20

#### Use the future value formula to find the indicated value.

Use the future value formula to find the indicated value.FV=$5774; n=9; i=0.06; PMT=?PMT=$_______(Round to the nearest cent.)

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