Express the Area of the Region Bounded by the Given $x = y ^ { 2 }$

question 325

Multiple Choice

Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.
-The parabola $x = y ^ { 2 }$ and the line $y = \frac { x } { 4 } - \frac { 21 } { 4 }$

• A) \(\int _ { 3 } ^ { 7 } \int _ { 0 } ^ { 4 y + 21 } d x d y\)
• B) \(\int _ { 3 } ^ { 7 } \int _ { y ^ { 2 } } ^ { 4 y + 21 } d x d y\)
• C) \(\int _ { - 3 } ^ { 7 } \int _ { y ^ { 2 } } ^ { 4 y + 21 } d x d y\)
• D) \(\int _ { - 3 } ^ { 7 } \int _ { 0 } ^ { 4 y + 21 } d x d y\)

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Definitions:

Mean

The average of a set of numbers, calculated by dividing the sum of all the values in the set by the number of values.

Binomial Distribution

A probability distribution that represents the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

Binomial Table

A mathematical table used to determine the probability of obtaining various numbers of successes in a fixed number of trials in a binomial experiment.

Cumulative Probability

This term refers to the probability that a random variable is less than or equal to a specified value.