1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

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A: Topic = Integration

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Q: nd the area of the region bounded by y = –x² – 4x – 2 and y = 2x² + 8x + 7.

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A: Given:      f(x) = (2x + 4)/(5x + 2) 

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Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

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Q: find eigen value of matrix A -2 %3D -4 2. 2.

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Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

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Q: A V1-Vy dy •1 y 4

A:     ∫1411-yydyLet u=1-y.=∫120-2udu=-∫012-2udu=--2·∫012udu=--223u32012=2·132=23

Q: x2sin2x dx Evaluate: - 2x?cos2x – 2xsin2x + cos2x +C A 4 -2r?cos2x + 2xsin2x – cos2x C None of the g...

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Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: Cansider the function. x) - 3x - 8 And the Inverse function of r. Slep 1 Let y- 3r-8, then solve or ...

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

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Q: Tim Hortons estimates it will have a continuous income flow of  f (t)  =  4311 dollars per year from...

A: Given income flow f(t)=4411 dollar.