How do I find this trigonometric function. I have to find the find sin[tan^-1{csc(cot^-1 x)}] in terms of x

How do I find this trigonometric function. I have to find the find sin[tan^-1{csc(cot^-1 x)}] in terms of x

f(x)=x^3 (f(x+Δx)+f(x))/Δx (Δx≠0)

use the intermediate value theorem to identify an interval where the equation sinx- x^2= 0 has a non-zero solution

x 0, 1, 2 f(x) 1, k, 2

Air is being released from a spherical balloon at a rate of 100cm^3/sec. Which of the following is the instantaneous rate at which the radius of the balloon is changing when the radius is 5 cm (The...

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

a. f(x)=2x2+1/x-1 b. f(x)=ln(2x+2) c. f(x)=e(x-1)+2 d. f(x)=2x2-1/x+1

Find the maximum possible volume if h+r=3. (Leave your answer in terms of pi) I'm really stuck on this question. Any help would be appreciated! Thanks.

please help answer asap

Determine the equation of the line in slope-intercept form which is tangent to the following curve at x = 1. f(x)=2/(3√x^2)

A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means of a rope of negligible weight. As the bucket rises, water leaks out at a rate of 0.2 lb/sec. If the bucket...

A) Find the average value of f(x)=(x-3)^2 on [2,5] B) Find c such f average=f(c) C) Sketch the graph of f and a rectangle whose area is the same as the area under...

Consider the definite integral ∫13 (-4x-5)dx Find a closed form expression for the nth right Riemann sum of this integral. ...

For the following piecewise defined function, evaluate the specified one-sided limts: f(x)=x2+2x, x≤1 x+3,...

Determine the equation of the line in slope-intercept form which is both tangent to the curve f(x) and parallel to the line provided: f(x)=2x2+3x+1 ...

lim h→0 f(x+h)- f(x)/h a. 3x2-1/2√x b. 3x2-1/√x c. 3x2+1/2√x d. 3x2+1/√x

f(x)={k(x2+7) for x>0 5+x for x<0 a. 7/5 b. 7 c. 5/7 d. 5

a. 2e3+1/9 b. e3+1/9 c. e3-9 d. 2e3-9

Find the second derivative of the equation.

a) Sketch the region whose area is given by definite integral. Integral is square root of 36-x^2 with bounds from -6 to 6 . b) Find and approximation of the area of the region using 6 subintervals...