A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...

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

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

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 is function of a single variable; assume it is at least twice differentiable. Let z = g(x,y) be a function of x and y and let u = u(z) = f(g(x,y)). Establish the following...

A sum of $1200 is invested at an interest rate of 7.5% per year. fine the amount in the account after four years if interest is compounded monthly?

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)= ?

express the function in the form f o g. Use non identity functions for f and g. u(t)=cot(t)/7+cot(t) f(t), g(t)= ?

Simplify 10Log10 (I/10^-12)

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

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

An ant is walking left along the curve y=2/x. It’s x-coordinate is changing at 1 unit per minute. When the ant is at point (2,1), how fast is it’s distance from the origin changing?

a box with an open top has a square base and four sides of equal height. The volume of the box is 441 feet cubed. the height is 2 feet greater than both the length and the wdth. If the surface area...

I need help how do i figure this out

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)= ?

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

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

f(x)-f(a)/x-a for the given function f(x)=4-3x-x^2