Find the Absolute Maximum and Minimum Values of the Function $$\text { Function: } f ( x , y ) = x ^ { 2 } + y ^ { 2 } ; \text { curve: } x = 5 t + 1 , y = 5 t - 1,0 \leq t \leq 1 \text {. }$$

question 65

Multiple Choice

Find the absolute maximum and minimum values of the function on the given curve.
- $$\text { Function: } f ( x , y ) = x ^ { 2 } + y ^ { 2 } ; \text { curve: } x = 5 t + 1 , y = 5 t - 1,0 \leq t \leq 1 \text {. }$$

• A) Absolute maximum: 52 at t = 1; absolute minimum: 2 at t = 0.
• B) Absolute maximum: 51 at t = 1; absolute minimum: 6 at t = 0.
• C) Absolute maximum: 51 at t = 1; absolute minimum: 2 at t = 0.
• D) Absolute maximum: 52 at t = 1; absolute minimum: 6 at t = 0.

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Definitions:

Cognitive Dissonance

A psychological state of tension that occurs when an individual holds two conflicting thoughts, beliefs, attitudes, or values at the same time.

Techniques of Persuasion

Methods or strategies used to convince or influence others to change their attitudes, beliefs, or actions.

Compliance

The act of conforming to or following rules, standards, or laws.

Resist

To withstand, strive against, or oppose a force or influence.