If a stone is thrown vertically upward from the surface of the moon with a velocity of 14 m/s, its height (in meters) after t seconds is h = 14t - 0.83t2. (Round the answers to two decimal places...

If a stone is thrown vertically upward from the surface of the moon with a velocity of 14 m/s, its height (in meters) after t seconds is h = 14t - 0.83t2. (Round the answers to two decimal places...

e^x=3x In the interval [0,1]

A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min,...

A model for the average price of a pound of white sugar in a certain country from August 1993 to August 2003 is given by the function S(t) = −0.00003237t^5 + 0.0009037t^4 − 0.008956t^3...

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...

What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t)= How many grams of goo will remain after 74 minutes?

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...

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

(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...

evaluate analytically

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

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

f(x) = sin(-6x)/(9x). x is less than 0 3x-9k-6. x is greater than or equal to 0 Help!?

Two people start from the same point. One walks east at 9 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to...

please help answer asap

Find the derivative of the function. f'(x)= arccsc 8x

the population at the end of 1960 is 3.04*10^9 and by the end of 2010 it is 6.87*10^9. assume that the population grew at the rate of dP(t)/dt=Z*P(t) where Z is the growth rate in years^-1...

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

A rectangle has one side of 8 cm. How fast is the area of the rectangle changing at the instant when the other side is 18 cm and increasing at 2 cm per minute? This is how I set it...