QUESTION 4 Evaluate tan³3x dx 01 1 tan3x -x +C tan ³3x + C tan ³3x + C tan3x - x +C

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Q: (How?) (34) =(x)5

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Q: Evaluate the indefinite integral S -10x² √1 1-x dx

A: To evaluate the integral

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))²2. You also know that ƒ(7) = 2,ƒ(2) = 3,ƒ' (2) = 10, ƒ' (7) =…

A: The functions are Fx = ffxGx = Fx2 The values of the function fx and its derivative f'x are f7 = 2,…

Q: 15. xyy e'. 16. tan² y dy = sin³ x dx. 17. y' = cos2 x cos y. W

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Q: 2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

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Q: Calculate y" and y"". y(t) = 3t 3+ 4t-5/3 (Use symbolic notation and fractions where needed.)

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Q: 25. (y + √√x² + y²) dx − x dy = 0; when x = √√√3, y = 1. ANS. x² = 2y + 1.

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A: Solution is here

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Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

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Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

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A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

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Q: Let Am 40 -17] Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: we can find eigen values and eigen vectors to find the solution.

Q: Consider the following functions. f(x) =x+7² g(x) x + 7 5x - 7

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Q: Evaluate the expression when x=-6. x² + 7x+8

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Q: 19. |2xy cos (x²) − 2xy + 1] dx + [sin (x²) − x²] dy = 0. ANS. y[sin (x²) x²] = c - x.

A: 19. The given differential equation is 2xycosx2-2xy+1dx+sinx2-x2dy=0 We have to find the general…

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