Find all critical points of the function f(x) = x³ − ²/1x² − 54x + 10. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated li not have any critical points, enter DNE.)

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A: answer is in next step

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A: The solution as follows :

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Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If zs² + yt²= 1 and 2²s+y³t = ry - 4, find 0x/0s, az/at, Əy/08, Əy/ot, at (x, y, s. t) = (1, -3,2,…

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A: The answer is given below:

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A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: d. lim+ In 1000 X X5

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Q: 3 fin [ ха Txx² 2 - 1/2 to

A: To evaluate: ∫13lnx21+x212dx=∫1312lnx21+x2dx=12∫13ln x2-ln (1+x2)dx=12∫13(2ln x) dx-12∫13ln(1+x2)…