A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

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,...

Im just being curious about this.

Given the function f(x)=1/x use 4 rectangles and evaluation on the left to aproximate the area ∫3 1/x dx 2

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]

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

a) f(x) = log(x −4) b) f(x) = log(5 − x) c) f(x) = − ln(x + 2)

f(x)=x^3 (f(x+Δx)+f(x))/Δx (Δx≠0)

evaluate analytically

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?

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

(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...

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...

suppose that f(x) is an even function and let ∫0^1 f(x)dx = 5 and ∫0^7 f(x)dx = 1. What is ∫-7^-1 f(x)dx? This is my work I expand ∫-7^-1 f(x)dx to F(-1) - F(-7) F(-1)...

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

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → ∞ x + 2 36x2 +1

For example, when a limit approaches 0: x^2-5x+7/ x^3

please help

Calc 1 Homework Problem