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

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 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

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...

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

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

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

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

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...

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

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

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...

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)...

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

Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 5 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to...

evaluate analytically

write the quadratic 3x2+9x+6 in standard form (so it is clear what the vertex of the parabola would be)