8,599 Answered Questions for the topic calculus

Calculus Physics

10h

#### Optizimation Question

Four feet of wire is to be used to form a square and a circle. How much of the wire shouldbe used for the square and how much should be used for the circle to enclose the (a)maximum total area? (b)...
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Calculus

11h

#### Find the intervals on which f is increasing and decreasing.

Find the intervals on which f is increasing and decreasing.f(x)= -2 sin^2 x on [-pi,pi]

Calculus

11h

#### Find the intervals on which f is increasing and decreasing.

Find the intervals on which f is increasing and decreasing.f(x) = -3x^2 + 54 ln x

Calculus

11h

#### Find the intervals on which f is increasing and the intervals on which it is decreasing.

f(x)= x^4/4 - 3x^3 + 9x^2

Calculus

11h

#### Find the intervals on which f is increasing and the intervals on which it is decreasing.

f(x)= -x^3 -8x

#### Please help me answer ASAP!! Find the rate at which water is pumped in cubic centimeters per minute.

Water is leaking out of an inverted conical tank at a rate of 8300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0...
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Calculus

15h

#### A street light is mounted at the top of a 15-ft-tall pole.

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he...
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Calculus

16h

#### Find the point on the line 6 x + 7 y + 6 = 0 which is closest to the point ( 2 , 0 )

Please give all work and the answer, thank you!

Calculus

16h

#### Find the point on the line 4 x + 7 y + 2 = 0 which is closest to the point ( − 1 , − 3 ) .

Need answer ASAP. with work please. Thank you so much!

Calculus

18h

#### A ladder 10 ft long rests against a vertical wall.

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.3 ft/s, how fast is the angle between the ladder and the ground changing when...
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Calculus

18h

#### Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min,

Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast...
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Calculus

19h

#### Calculus: Solve this question

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the line y-axis. y= square root x, y=1, x=4

Calculus

19h

#### Water is leaking out of an inverted conical tank at a rate of 7,000 cm3/min at the same time that water is being pumped into the tank at a constant rate.

Water is leaking out of an inverted conical tank at a rate of 7,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at...
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Calculus

19h

#### A spotlight on the ground shines on a wall 12 m away.

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast is the length of his shadow on the building...
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Calculus

19h

#### Let's assume the rocket rises vertically and its speed is 500 ft/s when it has risen 3000 ft.

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also,...
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Calculus

19h

#### If y = 3x3 + 2x and dx/dt = 2, find dy/dt when x = 4

If y = 3x3 + 2x and dx/dt = 2, find dy/dt when x = 4

Calculus

23h

#### The position of a falling object is given by the function

s(t)=-16t^2+80t+10(a) find the instantaneous velocity of the object at t=3/2.(b) at what time t is the instantaneous velocity of the object zero? Find the instantaneous velocity of the object...
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1d

#### Could someone help me with this algebra question please

Find (f(x+h) - f(x))/h if f(x) = 5x^2 + 4

Calculus

1d

#### What is the indefinite integral of dx/[(3radical(x)+4radical(x)]

In the denominator it is a x raised to 1/3 + x raised to the 1/4. I am getting a really long answer and am just trying to make sure I am on the right path?

Calculus

1d

#### A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top

A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate...
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