Find a Parametric Representation for the Part of the Elliptic $x + y ^ { 2 } + 2 z ^ { 2 } = 7$

question 121

Multiple Choice

Find a parametric representation for the part of the elliptic paraboloid $x + y ^ { 2 } + 2 z ^ { 2 } = 7$ that lies in front of the plane x = 0.

• A) \(x = 7 - y ^ { 2 } - 2 z ^ { 2 } , y = y , z = y , y ^ { 2 } + 2 z ^ { 2 } \leq 7\)
• B) \(x = x , y = \sqrt { 7 - x + 2 z ^ { 2 } } , z = z\)
• C) \(x = x , y = \pm \sqrt { 7 - x + 2 z ^ { 2 } } , z = z\)
• D) \(x = 7 - y ^ { 2 } - 2 z ^ { 2 } , y = y , z = y , 0 \leq y ^ { 2 } + 2 z ^ { 2 } \leq 3\)
• E) \(x = 7 - y ^ { 2 } - 2 z ^ { 2 } , y = y , z = y , y ^ { 2 } + 2 z ^ { 2 } \geq 7\)

Know how to use the pooled proportion estimate in hypothesis testing.

Recognize the conditions required for using the normal approximation to the binomial in testing differences between population proportions.

Calculate and interpret the p-value in hypothesis testing.

Apply statistical methods to evaluate differences in opinions or behaviors between two groups.

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