Find the Surface Area of the Surface S $z = 3 y$

question 60

Multiple Choice

Find the surface area of the surface S.
-S is the area cut from the plane $z = 3 y$ by the cylinder $x ^ { 2 } + y ^ { 2 } = 36$ .

• A) \(36 \sqrt { 10 }\)
• B) \(36 \sqrt { 10 } \pi\)
• C) \(6 \sqrt { 10 } \pi\)
• D) \(12 \sqrt { 10 } \pi\)

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Definitions:

Type I Error

An erroneous denial of a valid null hypothesis, commonly called a "false positive."

Null Hypothesis

A hypothesis used in statistics that suggests there is no significant difference or effect, typically to be tested against an alternative hypothesis.

Alternative Hypothesis

The hypothesis that proposes a difference or relationship exists between two variables, contrasting the null hypothesis.

Population Parameter

A numerical value that represents a characteristic of a population.