Consider the following: cos(x)+√y = 5 A) Find y' by implicit differentiation B) Solve the equation explicitly for y and differentiate to get...

Consider the following: cos(x)+√y = 5 A) Find y' by implicit differentiation B) Solve the equation explicitly for y and differentiate to get...

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

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...

give an equation in standard form passing through (−3, 3) perpendicular to the line through the origin with slope 0.2

evaluate analytically

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

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

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ... **Explain and justify your answer.** Question 2: Water is being poured at...

Find a function f'(x)=8ex-9x and f(0)=3 f(x)= ?

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

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

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

let xy=4 and (dy/dt)=1 . find (dx/dt) when x=2 f(x)= ?

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 second derivative of the equation.

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.

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...

Given that f(10)=5, f′(10)=1, g(5)=3, and g′(5)=9, what is the approximate value of g(f(10.01))? Help!?