### Create an Account

Home / Questions / 1. Use the chain rule to find dz/ds where z=3x ln(y) x=s cos(t) y=2s sin(t) Your final...

# 1. Use the chain rule to find dz/ds where z=3x ln(y) x=s cos(t) y=2s sin(t) Your final answer should depend on s and t only 2. Let S be the surface given by the equation xy+xz+yz=0 and let P

1. Use the chain rule to find dz/ds where

z=3x ln(y)

x=s cos(t)

y=2s sin(t)

2. Let S be the surface given by the equation

xy+xz+yz=0

and let P be the point (1,2,-2/3)

(a) Find the equation of the tangent plane of S at P

(b)Find a parametric equation for the normal line to S at P.(The normal line is the line perpendicular to S at P that also goesthrough P.)

3. A wedge-like region E is cu from he parabolic cylinder y=2x^2by the planes z=0 and 2y+2z=1. Set up a triple integralrepresenting the volume of E with order of integration ???dz dy dx

and appropriate integration limits for each variable. DON'TEVALUATE THE INTEGRAL

Aug 23 2021 View more View Less Subscribe To Get Solution