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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)... more
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
Calculus Math Physics

12h

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... more
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... more
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... more
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... more
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... more
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... more
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,... more
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... more
Calculus Precalculus Algebra

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... more
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