KingS.

4. Given ln(x/y) + y^3 - 2x = -1. A. Find the equation of the normal line to the curve ln(x/y) + y^3 - 2x = -1 at the point (1,1). (I got -2x+3) B. Find the equation of a tangent line to the curve y=e^(x^2) that "also" passes through the point (1,0). You...

1. Consider the curve y = f(x) = 2^x - 1. A. Find the exact area of the region in the first quadrant bounded by the curves y = f(x) = 2^x - 1 and y = x. ("Exact area" means no calculator numbers.) B. Find the inverse function y = f^-1 (x). C. Using part A...

A culture of bacteria is growing at a rate of 4e^0.5t per hour, with t in hours and 0 ≤ t ≤ 20. A) How many new bacteria will be in the culture after the first six hours? B) How many new bacteria are introduced from the end of the fifth hour through the f...

A culture of bacteria is growing at a rate of 4e^0.5t per hour, with t in hours and 0 ≤ t ≤ 20. A) How many new bacteria will be in the culture after the first six hours? ( I got 153 bacteria) B) How many new bacteria are introduced from the end of the fi...

We have to find the exact area for C, @oobleck.

I need to write a numerical answer. What should I write?