780 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...
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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...
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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...
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#### 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...
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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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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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03/21/21

#### 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...
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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...
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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...
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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= _________

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

Differentiate the following function. y=x^12 e^x dy/dx=

#### 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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#### 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...
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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)= ______

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