Eliminate the Parameter in the Equations $x = t ^ { 2 } , y = t ^ { 4 }$

question 117

Multiple Choice

Eliminate the parameter in the equations $x = t ^ { 2 } , y = t ^ { 4 }$

• A) \(y = x ^ { 2 } \text { for } x \geq 0\)
• B) \(y = \sqrt { x } \text { for } x \geq 0\)
• C) \(y = 2 x ^ { 2 } \text { for } x \geq 0\)
• D) \(y = \sqrt { 2 x } \text { for } x \geq 0\)
• E) \(y = 2 \sqrt { x } \text { for } x \geq 0\)
• F) \(y = x ^ { 2 } / 2 \text { for } x \geq 0\)
• G) \(y = \sqrt { x } / 2 \text { for } x \geq 0\)
• H) \(y = \sqrt { x / 2 } \text { for } x \geq 0\)

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Definitions:

Disjunction

A logical operation that yields true if at least one of its operands is true.

Conditional

A logical statement that has an "if-then" form, specifying that one proposition depends on another for its truth.

Symbolize

To represent or stand for something else, especially through the use of symbols or symbolic language.

Symbolize

To represent ideas or concepts with symbols, marks, or characters.