Find the Number $b$ Such That the Line $y = b$ Divides the Region Bounded by the Curves

question 74

Short Answer

Find the number $b$ such that the line $y = b$ divides the region bounded by the curves $y = x ^ { 2 }$ and $y = 4$ into two regions with equal area.

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Definitions:

Bile

Mixture of salts, pigments, and cholesterol produced in the liver, then stored and concentrated in the gallbladder; emulsifies fats when secreted into the small intestine.

Fats

Organic compounds consisting of triglycerides that are insoluble in water and serve as a major energy source for the body.

Carbohydrates

Organic compounds, consisting of carbon, hydrogen, and oxygen, that are broken down to release energy in the body, including sugars, starches, and cellulose.

Mechanical Digestion

The physical process of breaking down food into smaller pieces without chemical change, typically accomplished by chewing and the action of the stomach.