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Q: I need help with question 39 in Section 4.1, page 284, of the James Stewart Calculus Eighth Edition ...

A: At first let us find the derivative of the function:

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

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Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: Find ∂z / ∂v using the chain rule if z = sin(x/y), x = ln(u), and y = v. Put the answer in terms of ...

A: Firstly, we find partial derivative of z with respect to x and y, partial derivative of x with respe...

Q: I need help with e. and d. JUST THESE PARTS

A: (d)Consider the given function:

Q: how to solve problem in photo attached

A: The given integral is,

Q: Solve the equation for x to 4 places: 5e2x-1-2=23 This is with logs.

A: Consider the given equation, 5e2x-1-2=23Simplify the above equation, we get

Q: Video Example Suppose that f(0) = -7 and f'(x) < 8 for all values of x. How large can f(3) possibly ...

A: To estimate the maximum possible value for f(3) under the given conditions