Provide an Appropriate Response $x = t , y = t ^ { 2 } , z = t$

question 359

Multiple Choice

Provide an appropriate response.
-For the space curve $x = t , y = t ^ { 2 } , z = t$ , find the points at which the function $f ( x , y )$ takes on extreme values if $f _ { X } =$ $9 , \mathrm { f } _ { \mathrm { y } } = \frac { \mathrm { t } } { 2 }$ , and $\mathrm { f } _ { \mathrm { z } } = - 30 \mathrm { t }$

• A) \(t = 0\)
• B) \(t = \frac { 3 } { 2 }\) and \(t = - \frac { 5 } { 2 }\)
• C) \(t = 3\) and \(t = - 5\)
• D) \(t = 6\) and \(t = - 10\)

---

Definitions:

Containment

General U.S. strategy in the Cold War that called for containing Soviet expansion; originally devised by U.S. diplomat George F. Kennan.

Military Campaign

A series of related military operations aimed at achieving a specific objective within a given time period and geographical area, often part of a larger war or conflict.

Nikola Khrushchev

A Soviet politician who served as the leader of the Soviet Union during part of the Cold War, known for initiating the de-Stalinization process and facing the Cuban Missile Crisis.