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Q: Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

A: We are given a function as

Q: Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the sol...

A: (A)It is given that, the region bounded by y = x2, x = 1 and y = 0.The region around the line y = -8...

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

Q: Write the integral for the average value of f(x,y,z)=xyz over the region bounded by the paraboloid z...

A: To express the integral notation for the average value of the function f(x,y,z)=xyz over the region ...

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...

Q: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

Q: The heat flow vector field for conducting objects is F=−k∇T, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.