Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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Q: .......

A: To find one x value where f'(x)=0. That is the tangent at x is parallel to x-axis.

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: differntiate y= (lnx)^(cosx)^(sinx)

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Q: Suppose that | d(z)dz = 9, and d(z)dz = 9.3. 2 Find the value of the definite integral d(z)dz |…

A: The objective is to find the value of the given definite integral

Q: The reciprocal squared function f(x)=1/x^2 shifted to the right 2 units.

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Q: Simplify d/dx(x^2 dy/dx)

A: To simplify the given expression.

Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.