Mack

1. How fast is the water level rising if water is filling the tub at a rate of .7ft^3/min?

2. At what rate is water pouring into the tub if the water level rises at a rate of .8ft/min?

I know you have to use some derivatives in stuff these questions come from my calculus class and im just lost on how to do them any help would be great.

Im working on some homework and I cannot figure this one out any help would be appreciated.

I am wondering how I need to do this problem if I use the Product rule or the quotient or both if someone could just walk through the steps I have these values to go with it when I have used the rules on it......f(4)=2... f'(4)=-3...g(4)=5....g'(4)=-1

made a new question typed it wrong in my old one so i deleted it.

The problem is differentiate the expression with respect to x and my teacher said to use the limit definition to show d/dx(ax+b)=a.....I am just completely lost could someone help me out

Two Polynomials P and D are given. Use long division to divide P(x) by Q(x), and express the quotient P(x)/D(x) in the form.....P(x)/D(x) = Q(x) + R(x)/D(x)............P(x) = x^3+2x^2-3x+1 , D(x) = x + 2

Then evaluate P(-2) by the formula you get.

When we define the inverse function of a function f, why do we require f to be a one-to-one function?