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Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answer. Do not round.) f(x) = x2; g(x) = â 1 5 (5 + x); x = 0; x = 3

Sagot :

varshamittal029

The equations are given whose graphs enclose a region. when the area of the region is 301.5

The given function is f(x) and g(x), we need to calculate the area.

A = ₐ∫ᵇ (f(x) + g(x)) dx

A = ₀∫³ (x² + 15(x + 5)) dx

A = ₀∫³ (x²dx  + ₀∫³15(x + 5)) dx

A =  (x³/3) + 15x²/2 + 75x

A = ₀[x³/3]³ + ₀[15x²/2 + 75x]³

A = [(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]

A = 27/3 + 15(9/2) + 75(3)

A = 9 + 15(4.5) + 7

A = 76.5 + 225

A = 301.5

Therefore, the equations are given whose graphs enclose a region. when the area of the region is 301.5

To learn more about integration refer here

https://brainly.com/question/22008756

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