g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is concave down. Use this info to find and classify all critical points of g(t).

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Q: II. Matching Type: Match the definite integral in column A with its value in column B. Letters only.…

A: 11. ∫022x-3dx12. ∫-11x3+2xdx13. ∫03x2-2dx

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A: Here we have to find the area A of the part of the circle r in the fourth quadrant.

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A: Given problems:-

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Q: 27. 12f(r) – g(x)] dx = 28. Ư(x) – g(3)]dx =, 29. (4g(x) – 3f(x)] dx = 30. f) + 39(x)] dx =

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A: Topic = Algebra The circumference at that moment is 2.

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A: Let's find.

Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. J5 х4 dx 3. S ( 4 x7 + 7 ) dx…

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Q: 3x — 1 - dx (x – 2)(x + 5) 3 In |æ – 2| + In |æ + 5| + C 3 In |æ – 2| + In|æ + 5| + C O A Ов 16…

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Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: Integral 1.

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

A: This question can be solved using the concept of linear approximation.

Q: Moha Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y x and %3D y = x2.

A: The objective of the question is evaluate the given integral.

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A: follow the procedure given below.

Q: (x² -2x9 dy Solve The firest orler oDe

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A: I am attaching image so that you understand each and every step.

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A: Let's find.

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A: We have to find value of C &amp; K

Q: 1. ſ ev¤dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…