Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)² SY² dy √√² + 8y + 49 dy= (y² +49) ² ...

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Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

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Q: ind the derivative of the function. y = e-7x In(4x)

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A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

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A: The solution is shown below-

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A: The given function is: fx=x2-x-1e-x.It is also given that it has two critical points x=0 and x=3.

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Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

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Q: Solve the differential equation y` = (196+ y)²

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