Solve the Problem $f ( x , y , z ) = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + y ) ^ { 2 n } } { ( 2 n ) ! z ^ { 2 n } }$

question 210

Multiple Choice

Solve the problem.
-Find an equation for the level surface of the function $f ( x , y , z ) = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + y ) ^ { 2 n } } { ( 2 n ) ! z ^ { 2 n } }$ that passes through the point $( \pi , \pi , 1 )$ .

• A) \(\cos \left( \frac { x + y } { z } \right) = 0\)
• B) \(\frac { x + y } { z } = 2 \pi\)
• C) \(\cos \left( \frac { x + y } { z } \right) = 2 \pi\)
• D) \(\frac { x + y } { z } = 1\)

---

Definitions:

Underwriter

A financial specialist or institution that evaluates and assumes the risk of another party's financial products, often seen in insurance and securities.

Offering Price

The price at which shares of a company are made available for sale to the public during an initial public offering (IPO) or secondary offering.

Market Price

The current financial value at which an asset or service can be acquired or disposed of in the market.

Ownership Position

The stake or interest that a person or entity has in an asset.