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Q: İt is just a question on study plan so it isn't effective for the grades of Calculus-2 so if you can...

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Q: find the Jacobian ?(x, y)?(u, v) for the indicated change of variables. x = eu sin v, y = eu cos v

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Q: By using Bing integration by parts, one can prove the redaction formula (In(x))dx | (In (In (x))^dx ...

A: Given Using this reduction formula integrate the given integral

Q: An offshore oil well is 2 kilometers off the coast. The refinery is 5 kilometers down the coast (see...

A: We sketch the situation roughly W= well , R= refinery , Let the pipe is laid on the red part Whe...

Q: Find the asymptotes of the functionf(x)=x/x+1.

A: Given function is

Q: Let P(x) = tln(t) dt. Use part 1 of the fundamental theorem of calculus to determine if P(x) is incr...

A: Given function is

Q: a (a) lim f(x) X-2 (b) lim f(x) X→2

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Q: Perform the indicated operations. Simplify the result.

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Q: 3. Show that: • T/2 sin" x dx • T/2 cos" x dx

A: Recall the property of definite integral: