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Q: Verify the integration formulas in Exercises 37–40. sech x dx = tan'(sinh x) + C 37. a. sech x dx = ...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find the area bounded by Y1=X2, Y2=X, X=0 and X=2 graph it and show ALL

A: Consider the graph:

Q: 45. The cubical metal tank shown here has a parabolic gate held in place by bolts and designed to wi...

A: (a)

Q: From the graph of f, state each x-value at which f is discontinuous. For each x-value, determine whe...

A: A function is said to be discontinuous at points where the curve is not continuous, that is, it has ...

Q: The percentage of people of any particular age group that will die in a given year may be approximat...

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Q: evaluate the limit.

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Q: Water is pumped into a sphere of radius R at a variable rate in such a way that the water level rise...

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Q: 2.) (3x + x2) sin(2x) dx Use whatever method you want to

A: Part 1

Q: Tutorial Exercise Use the given transformation to evaluate the given integral, where R is the triang...

A: To determine the Jacobian of the transformation.