76 Answered Questions for the topic calc1

11/16/21

#### 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... 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

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

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... 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

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