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Calculus 1

04/19/17

If a ball is thrown straight up into the air with an initial velocity of 85 ft/s

If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet after t second is given by y=85t−16t^2. Find the average velocity for the time period begining... more

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Calculus 1

04/19/17

Let u(x)=e^8x and v(x)=3x+7. Find a simplified formula for the function below.

Let u(x)=e^8x and v(x)=3x+7. Find a simplified formula for the function below. v(u(x)^2)=__________+__________

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Calculus 1

04/19/17

Let f(x)=sin(4x) and g(x)=3+√x. Find formulas for:

Let f(x)=sin(4x)) and g(x)=3+√x. Find formulas for: a) f(g(x)) b) g(f(x))

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Calculus 1

04/18/17

∑n k=1 (24k(k-1)/n^7

Use the summation formulas to rewrite the expression ∑n k=1 (24k(k-1)/n^7 without the summation notation.

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Calculus 1

04/17/17

How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 60 units

a manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C(x)= .3x^2+7000. How fast is the cost per month changing when production is changing... more

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Calculus 1 Optimization

04/14/17

A cylinder with open top with radius r and height h has surface area 8 cm2 . Find the largest possible volume of such a cylinder?

A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?

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Calculus 1

04/11/17

2sin(x)cos(y)=1 find the first derivative

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Calculus 1

04/10/17

differential equation

solve f'(x)=-4x^2+3x-1 given that f(1)=0

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Calculus 1

04/08/17

Find average velocity for s = 150t − 18t^2, where s is its position in meters, for time t=0 to t=5

using the average value theorem.

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Calculus 1

04/05/17

A shape is bounded y = x+2, y = 2x, and the y-axis. What is the volume of this shape when it is revolved around y = -1?

I have graphed the boundaries and where the triangular shape will be revolved. The hole in the 3D-shape throws me for a curveball. I need to know how to set up the integral. Thanks.

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Calculus 1

04/03/17

Find the domain and range of the function f(x)=(2-x-(x^2))^1/2

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Calculus 1

03/31/17

d/dx x^2 * e^(x^5+1)^10

Calculus question. Can you please guide me through how to get the answer? I tried a dozen times but every time I mess up somewhere along the way. I know that I need to use the product rule and... more

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Calculus 1 Calculus Optimization

03/29/17

Optimization problem, Please Help!!

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder... more

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Calculus 1

03/28/17

A child’s toy is a flat disk shaped as in the diagram, a square with semicircular ends. The side of the square is measured tobe 8 cm with an error of 0.05 cm

A child’s toy is a flat disk shaped as in the diagram, a square with semi‐circular ends. The side of the square is measured to be 8 cm with an error of 0.05 cm. Use differentials to find the... more

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Calculus 1

03/28/17

4. At noon, ship A is 200km east of ship B and ship A is sailing north at 30km/h. Ten minutes later, ship B starts to sail south at 35 km/h.

4. At noon, ship A is 200km east of ship B and ship A is sailing north at 30km/h. Ten minutes later, ship B starts to sail south at 35 km/h. a. What is the distance between the two ships at 3 pm?... more

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Calculus 1

03/28/17

d/dxcosx=-sinx

I need a proof using cosx=sinx/tanx. I have (sinx/tanx)'=quotient rule=(tanx(cosX)-sinx(sec^2x))/ tan^2x = (sine-sinx(sec^2x))/ tan^2x I need the rest from there

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Calculus 1

03/27/17

please help

given f(x)=x^2-8x-4 For less than or equal to 4. find the value of (f^-1)'(5)

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Calculus 1

03/27/17

please help

If f is a one-to-one function with f(1)=−5 and f⁡⁡′(1)=2, what is the value of (f^−1)′(−5).

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Calculus 1

03/27/17

find rate of change

The base of a right triangle is half its height. If the base of the triangle is increasing at a rate of 2 cm/sec, find the rate of change of the area of the triangle when the base is 26cm.

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Calculus 1

03/27/17

finding rate of change

The volume of a cylinder is increasing at a rate of 248in^3/min . Suppose that the height is increasing at 10 in/min. Find the rate of change of the radius at the instant when the volume is 1000... more

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Calculus 1 Calculus

03/23/17

Express the area A of the rectangle as a function of x

I am stuck on this ?calculus? question. I don't know how to use the graphing calculator, so if you kindly answer this question can you please explain step by step, even with the graphing... more

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Calculus 1 Calculus Cost Function Minimum Average Cost

03/18/17

The cost of producing x units of a product is given by C(x)=600+90x−90ln(x),x≥1. Find the minimum average cost.

The cost of producing x units of a product is given byC(x)=600+90x−90ln(x),x≥1.Find the minimum average cost.

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Calculus 1 Calculus Derivatives Demand

03/18/17

Suppose that the demand of a certain item is x=100e^(−0.02p). Evaluate the elasticity at 40:

Suppose that the demand of a certain item is x=100e^(−0.02p) Evaluate the elasticity at 40:

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Calculus 1

03/18/17

Limits at Infinity

Theresa is investigating the graph of h(x) = x^2/sinx for her calculus II course. She keeps getting her answer wrong, and doesn’t understand why this would be true, since she’s basing her... more

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Calculus 1

03/18/17

Calculus : Maxima and Minima

Tim is working with the function g(x) = sqrt(175-x^2)a. Tony graphs g(x), and says that the domain (-oo, oo). Explain why that is not true.b. Tony also believes that, “the lines of the graph are... more

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If a ball is thrown straight up into the air with an initial velocity of 85 ft/s

Let u(x)=e^8x and v(x)=3x+7. Find a simplified formula for the function below.

Let f(x)=sin(4x) and g(x)=3+√x. Find formulas for:

∑n k=1 (24k(k-1)/n^7

How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 60 units

A cylinder with open top with radius r and height h has surface area 8 cm2 . Find the largest possible volume of such a cylinder?

2sin(x)cos(y)=1 find the first derivative

differential equation

Find average velocity for s = 150t − 18t^2, where s is its position in meters, for time t=0 to t=5

A shape is bounded y = x+2, y = 2x, and the y-axis. What is the volume of this shape when it is revolved around y = -1?

Find the domain and range of the function f(x)=(2-x-(x^2))^1/2

d/dx x^2 * e^(x^5+1)^10

Optimization problem, Please Help!!

A child’s toy is a flat disk shaped as in the diagram, a square with semicircular ends. The side of the square is measured tobe 8 cm with an error of 0.05 cm

4. At noon, ship A is 200km east of ship B and ship A is sailing north at 30km/h. Ten minutes later, ship B starts to sail south at 35 km/h.

d/dxcosx=-sinx

please help

please help

find rate of change

finding rate of change

Express the area A of the rectangle as a function of x

The cost of producing x units of a product is given by C(x)=600+90x−90ln(x),x≥1. Find the minimum average cost.

Suppose that the demand of a certain item is x=100e^(−0.02p). Evaluate the elasticity at 40:

Limits at Infinity

Calculus : Maxima and Minima

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