Use partial fractions to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x² + 6x x² + x x³ Need Help? X Read It 1 dx

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A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

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A: The objective of the question is determine the limit existing.

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A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: 2) Find the indefinite integral by using the method of partial fractions: 3x+5 x²-9x+18 S- -dx

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

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A: We can find the answer as below.

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Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

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A: This question is based on two variable limits.

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

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Q: 12. If eie + 1 = 0, what is 0? A. 0 B. π 2 C. T D. 2π E none of the above

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A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

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A: Transformations.

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Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

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Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²². Find fx and fy. Evaluate fxxy(4,-1).

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Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

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Q: The range of the function f(x, y) = This option 10, 1/3] [1/3, +00[ O This option None of these 1…

A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

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Q: 9 -8 -7 y=x+2- 3 4 5 7 8 9 10 Find the average value of f(x) = x + 2 on the interval [1,4]. Hint:…

A: The average value of fx=x+2 on the interval 1,4

Q: (x-4)(x+4) Find the horizontal asymptote(s), if any, of the curve f(x) = -16 Select one: ○ x = 4,…

A: Option (b)

Q: stion 2 [ Given the function xye* 2x³ +50y² f(x, y) = ind the domain of f. ind lim (x.v)-(0.0) f(x,…

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Q: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question…

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