Consider the Surface Given By $z = x y ^ { 3 } - x ^ { 2 } y$

question 235

Essay

Consider the surface given by $z = x y ^ { 3 } - x ^ { 2 } y$ . Find an equation for the tangent plane to the surface at the point $( 3,2,6 )$ . Also, find parametric equations for the normal line to the surface at the point $( 3,2,6 )$

---

Definitions:

Intrinsic Value

The perceived or calculated true value of an asset, investment, or company, based on fundamentals, without regard to market value.

Call Option

A financial contract giving the buyer the right, but not the obligation, to buy a specified amount of an underlying asset at a predetermined price within a specified time frame.

At The Money

A situation in options trading where the strike price of an option is equal to the market price of the underlying asset.

Out Of The Money

Describes an options contract that would not yield a profit if exercised at the current market level.