This is a problem I have on my calc homework and I can't figure it out.

This is a problem I have on my calc homework and I can't figure it out.

The tank has height 14 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 0.19 m/min when the height of the water is 1 meters, find the rate at which water is...

(a) How rapidly is the area enclosed by the ripple increasing when the radius is 5 feet? (b) How rapidly is the area enclosed by the ripple increasing at the end of 9.8 seconds...

How fast is the height of the pile increasing when the pile is 20 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V= (1/3)pi...

How fast is the surface area of the balloon increasing when its radius is 14cm? Recall that a ball of radius r has volume V=(4/3)pi r3 and surface area S=4pi r2

Have been trying to solve this for hours with no luck, any help would be greatly appreciated. (The question must be solved using Calculus)

log base(ab) [2log base(ab)(√a)-1/2log base(ab)√ab(b)]=(log base(ab) (a))^2-(log base(ab)(b))^2 I do not know

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 0.6 ft/s, how fast is the angle between the ladder and the ground changing when...

Calculus I Question. Need to find y'' for the following expression.

A kite 100 ft above the ground moves horizontally at a speed of 14 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let...

evaluate analytically

A sugar refinery can produce x tons of sugar per week at a weekly cost of 0.1x^2 +3x + 2560 dollars. Find the level of production for which the average cost is at a minimum and determine the...

Can someone help me with this im really confused with this problem.

a. What is the object's velocity, speed and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact?...

a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values?

I have no idea how to solve this

example: Calculate the limit of a function, while x approaches -1 f(x)=x+arccos(x/1-x^2)-1/(x^2)*e^(1/2*x^2) //the function arccosX (X is a real number) is defined for X∈[-1,1], but...

evaluate analytically

Find the indefinite integral of sec(x)+tan(x) dx

Use the method of completing the square to sketch (a) 𝑦 = 𝑥2 + 10𝑥 + 4 (b) 𝑦 = 6 + 𝑥 − 𝑥2.