Find an Equation of the Tangent Plane to the Surface $x = \cos u \sin v$

question 33

Essay

Find an equation of the tangent plane to the surface with parametric equations $x = \cos u \sin v$ , $y = \sin u \sin v$ , $z = \cos v$ at the point $\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 1 } { \sqrt { 2 } } \right)$ .

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Definitions:

Default Notice Clause

A provision in a contract that specifies the conditions under which a party is considered in default and the notice that must be given to them.

Foreclosure Action

A legal process by which a lender seeks to recover the balance of a loan from a borrower who has stopped making payments.

Right of Action

The legal right to sue or pursue litigation in order to enforce or defend a right or claim.

Equity of Redemption

The right of a mortgagor to redeem their property once the debt secured by the mortgage is fully paid.