Mathematical Scratchpad
252 final review
Use implicit differentiation to find the curvature of an ellipse at and
If , sketch the level curves for and .
If
Prove that does not exist.
Find and
Consider
find
find
Use the limits to write down the definition for the partial derivative of . (b) Interpret and geometrically.
Find the tangent plane at the given point for the following surfaces.
,
Review sheet for 'Practices on Gradients'.
Review sheet for 'Max/Min'.
Use the Midpoint Rule with to estimate the value of the integral where
Use the Chain Rule to find if plus related problems.
Practices on 'Double Integrals'.
Know when to use or
Know how to transform from rectangular coordinate to polar coordinate.
Know when to use and when to use
The center of mass.