13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative of y = e*. A) 2x 2xe*? B) C) D) 2e2x 2xe2x 15. Find the derivative of y = cot (7x) A) -csc?7x B) -cot27x C) -cot27xcsc²7x D) -3cot27xcsc27x

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A:

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A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

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A: We know that L{tn} = n!sn+1        and          L{sin at} = as2+a2        and       L{cos at} =…

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A: Please see the answer below.

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A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

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A: The integration of the integral is  (heh^2+h2eh^3).

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Q: 7. Simplify tan n(cos" () ( cos-1

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Q: Find the radius of convergenee and interval of convergence for the following. (x – 2)" 2 2" (2n)!…

A: The given series,       ∑n=1∞x-2n2n2n!

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A: answer is in next step. please give  a like!!!!

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A: Please see the answer bellow.

Q: B) dy = 8xex2. 9) y = e4x² + x A) dy = 8xe2x + 1 dx B) dy = 8xex2 + 1 %3| C) dy = 8xe + 1 D) dy -…

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Q: जे dydy. Sec

A: To evaluate and simplify the given integral.∫sec52y dy

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A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

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A: TOPIC- EXPONENTIAL FUNCTION

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Q: 11.. Compute the area of the shaded region in the graph below. The region is the area of overlap…

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Q: Change the following rec 15. x = 6y + 8 %3D

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A: LetI=∫212dxWe know that ∫abfxdx=-∫bafxdx, a<bThereforeI=-∫122dxTake constant outI=-2∫12dxWe know…

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