2. Consider the two surfaces zx = x² + y? and z³ = 4(x² + y³) They have a curve of intersection C that contains the point (1, 1, 2). (a) For the curve C, find a parametric equation for the line that is tangent to C at the point (1, 1, 2). (b) Taking z to be the vertical axis, what is the slope of the curve C at the point (1, 1, 2)?

-5 A rectangle the exact vou when the necto

Topsoil The Dirt Guy Topsoil company in Durham, CT, sells (you guessed it) topsoil. It is sold by the “yard,” which is actually a cubic yard, and the variable x is the length (yd) of each side of a cube of topsoil.

Name a chord

Solution set