778 Answered Questions for the topic Calculus 1

Calculus 1

03/28/22

calculus 1 optimization

Brandon is on one side of a river that is 80 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running... more
Calculus 1

02/23/22

Calculus 1 - Average Velocity Exam Practice Help

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 28 ft/s. Its height in feet after t seconds is given by y=28t−20t^2.Find the average... more
Calculus 1 Calculus

02/18/22

If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x) g(x) .

If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x)  and v(x) = f(x) g(x) .The x y-coordinate plane is given. There are 2 functions on the graph. The function... more
Calculus 1 Math Calculus Graph

01/24/22

How to find the area of the region bounded by the graphs y = x^3 + 2x^2 and the line y=x+1

1) Define the intersection points. (Show how you get the points).2) Shaded the region bounded.3) Evaluate the area (show the calculations).

10/27/21

Exponential Function word problem

Elizabeth’s first business started in 2015, sells homemade brownie mixes. The profit during her 15th month of business was 50% higher than in her 3rd month of business. She predicts that her... more
Calculus 1

09/15/21

Cálculos 1 HOmework

lim (f(x)-5)/x-2= 3 find the lim approach to 6 x arrow 6

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... more

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... more
Calculus 1 Calculus Calc Calculus 2

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
Calculus 1 Calculus Calculus Calc

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

03/21/21

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)=182x−14x2, 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)=182x−14x2, find the following.​(A) The instantaneous velocity function... more

03/21/21

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)=182x−14x2, 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)=182x−14x2, find the following.​(A) The instantaneous velocity function... more

03/21/21

9.5: For ​f(x)=2x4−4x2+5 find the following. ​ (A) f′(x) ​(B) The slope of the graph of f at x=2 ​(C) The equation of the tangent line at x=2 ​(D) The​ value(s) of x where the tangent line is...

For ​f(x)=2x4−4x2+5 find the following.​(A) f′(x)​(B) The slope of the graph of f at x=2 ​(C) The equation of the tangent line at x=2 ​(D) The​ value(s) of x where the tangent line is horizontal

03/20/21

Find dy/dx. y= 4 ln x + 9 log 4x

Find dy/dx. y= 4 ln x + 9 log 4xdy/dx= ____________ ​(Type an exact​ answer.)

03/20/21

Find dy/dx. y= 4 ln x + 9 log 4x

Find dy/dx. y= 4 ln x + 9 log 4xdy/dx= ____________ ​(Type an exact​ answer.)

03/19/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+60x−0.4x^2.​(A) Find the exact cost of producing the 51st food processor.​(B) Use the marginal cost to approximate the cost... more

03/19/21

Find dy/dx for the function y=29^x.

Find dy/dx for the function y=29^x.dy/dx= ______

03/19/21

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

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

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= ______

03/18/21

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 $50,000 is invested in this​ CD, how much will it be worth in 10 ​years?approximately ​$________... more
Calculus 1 Calculus Finance Calc

03/16/21

Q10.3: Differentiate the following function. y=x^12 e^x

Differentiate the following function. y=x^12 e^x dy/dx=
Calculus 1 Calculus Finance Calc

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

03/16/21

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously. Use the given information to answer the questions.

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously.Use the given information to answer the questions.​(a) If $20,000 is invested in this​ CD, how much will it... 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
Calculus 1 Calculus Finance Calc

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)= ______

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