# Questions & Answers

Contents

- Find yʹ and yʹʹ. y=xln(x)
- Suppose you are climbing a hill whose shape is given by the equation z=100 – 0.05x^2 – 0.1y^2, where x,y and z are measured in meters, and you are standing at a point with coordinates (60, 50, 1100). The positive x-axis points east and the positive y-axis points north. If you walk due south, will you start to ascend or descend? At what rate?
- Find the curvature of r(t) = 7t, t2, t3 at the point (7, 1, 1).
- If xy + 3ey = 3e, find the value of y” at the point where x = 0.
- Consider a binomial experiment with n=20 and p=0.70.