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 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,...

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...

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]

please help answer asap

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

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2 Note: Both the denominator and numerator are under radical Differentiate ...

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

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...

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?

evaluate analytically

(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...

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

f(x)=x^3 (f(x+Δx)+f(x))/Δx (Δx≠0)

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 all points of disconuty of sin 9x

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)...

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