74 Answered Questions for the topic calc1

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... more

04/11/21

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... more

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.)

03/19/21

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= ______

03/16/21

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≤65​P(x) is pressure measured in millimeters of... more

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 $20,000 is invested in this​ CD, how much will it be worth in 5 ​years?approximately ​$________ ... more

03/15/21

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

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

03/15/21

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)= _______

03/15/21

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... more

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... more

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)= ________

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,... more

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... more

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... more

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,... more

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... more

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... more

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.)

12/14/20

Use the future value formula to find the indicated value.

Use the future value formula to find the indicated value.n=50​; i=0.04​; PMT=$92​; FV=?FV=​$____________​(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.)

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