Find Parametric Equations for the Tangent Line to the Curve $x = t ^ { 11 } , y = t ^ { 5 } , z = t ^ { 6 } ; ( 1,1,1 )$

question 129

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Select the correct answer.
$x = t ^ { 11 } , y = t ^ { 5 } , z = t ^ { 6 } ; ( 1,1,1 )$

• A) \(x = 11 t , y = 1 + 5 t , z = 1 + 6 t\)
• B) \(x = 1 + 11 t , y = 1 + 5 t , z = 1 - 6 t\)
• C) \(x = 1 + 11 t , y = 1 + 5 t , z = 1 + 6 t\)
• D) \(x = 1 + 11 t , y = 1 - 5 t , z = 1 + 6 t\)
• E) \(x = 1 - 11 t , y = 1 + 5 t , z = 1 + 6 t\)

Identify reserved and non-reserved words in Java, and understand identifier naming conventions.

Understand the function and syntax of Java's output methods.

Understand type casting and evaluate expressions involving different data types.

Understand the structure of a simple Java program, including syntax, declaration of variables, and basic Java statements.

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