27 Answered Questions for the topic Calculus1

#### 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) = ?

11/15/21

#### The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral.

Link to graph: https://ibb.co/zJ81nn1find:
(a) 10
g(x) dx
0
(b) 30
g(x) dx
10
(c) 35
g(x) dx
0

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.

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)=2x+9(A) [0,8] (B) [−2,5](A) Find the first...
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04/11/21

#### Find the absolute maximum and minimum, if either exists, for f(x)=x^2−14x+3. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

Find the absolute maximum and minimum, if either exists, for f(x)=x2−14x+3.Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A.The absolute...
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03/18/21

#### 10.1: Recently, a certain bank offered a 10-year CD that earns 14.15% compounded continuously. (a) If $50,000 is invested in this CD, how much will it be worth in 10 years?

Recently, a certain bank offered a 10-year CD that earns 14.15% compounded continuously.(a) If $50,000 is invested in this CD, how much will it be worth in 10 years?approximately $________...
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03/10/21

#### The total cost (in dollars) of producing x food processors is C(x)=2100+80x−0.5x^2.

The total cost (in dollars) of producing x food processors is C(x)=2100+80x−0.5x^2.(A) Find the exact cost of producing the 41st food processor.(B) Use the marginal cost to approximate the...
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03/10/21

#### Find the profit function if cost and revenue are given by C(x)=128+2.4x and R(x)=8x−0.03x^2

Find the profit function if cost and revenue are given by C(x)=128+2.4x and R(x)=8x−0.03x^2The profit function is P(x)= ________

03/10/21

#### Find the marginal revenue function.

Find the marginal revenue function.R(x)=x(17−0.05x)R′(x)= _________

12/17/20

#### Explain why that is false. Find the annual interest rate compounded monthly that is actually being charged for financing $17,475 with 72 monthly payments of $299.

The ad for a 4-door sedan claims that a monthly payment of $299 constitutes 0% financing. Explain why that is false. Find the annual interest rate compounded monthly that is actually being...
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12/15/20

#### You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a boat?

You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a boat?Type the number of months: ___________(Round...
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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

#### 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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12/15/20

#### Find and simplify the expression if f(x)=x2−3. f(2+h)

Find and simplify the expression if f(x)=x2−3.f(2+h)f(2+h)= _______ (Simplify your answer. Do not factor.)

12/15/20

#### Using the formula for simple interest and the given values, find I.

Using the formula for simple interest and the given values, find I.P=$300; r=8%; t=7 years; I=?

12/14/20

#### Solve the following problem. n=29; i=0.033; PMT=$195; PV=?

Solve the following problem.n=29; i=0.033; PMT=$195; PV=?PV=$________ (Round to two decimal places.)

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.)

12/13/20

#### Use the continuous compound interest formula to find the indicated value. P=$5,000; r=3.22%; t=6 years; A=?

Use the continuous compound interest formula to find the indicated value.P=$5,000; r=3.22%; t=6 years; A=?A=$_______ (Round to two decimal places as needed.)

12/10/20

#### 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...
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12/10/20

#### A survey of 1200 people in a certain city indicates that 830 own microwave ovens, 720 own DVD players, and 570 own microwave ovens and DVD players.

A survey of 1200 people in a certain city indicates that 830 own microwave ovens, 720 own DVD players, and 570 own microwave ovens and DVD players.(A) How many people in the survey own either a...
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12/10/20

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

A cooler at a picnic contains 100 cans of soda covered by ice. There are 19 cans of cola, 34 cans of orange soda, 46 cans of ginger ale, and 1 cans of root beer. The cans are all the same size...
more

12/10/20

#### A circular spinner is divided into 14 sectors of equal area. There are 3 red sectors, 5 blue, 4 yellow, and 2 green. Consider the experiment of spinning the spinner once.

A circular spinner is divided into 14 sectors of equal area. There are 3 red sectors, 5 blue, 4 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability...
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12/08/20

#### A survey of 1200 people in a certain city indicates that 830 own microwave ovens, 720 own DVD players, and 570 own microwave ovens and DVD players.

A survey of 1200 people in a certain city indicates that 830 own microwave ovens, 720 own DVD players, and 570 own microwave ovens and DVD players.(A) How many people in the survey own either a...
more

10/25/20

#### 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.)

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