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 \(t = - 10\)

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