Consider using the method of partial fractions to solve x²+x+1 rb Sa 2x²+2+x²+x - dx = [Af(x) – B ln(g(x))] + D fb dx, and if A = , and if A In(x²+1) B x + 2 x²+1 In(x2) A=,B<0, then g(x) =

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A: Volume is evaluated.

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A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

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A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

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A: This question is related to vectors, we will solve it using given information.

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 -x³ + x f(x) = √4x6 - 3…

A: We can solve this as follows:

Q: Question 8 3 (2x+4)³-8 } is

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Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -20 -15 15 A = 8 7-5 -…

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Q: Linearly dependent solutions Undamped Free vibrations w=0 W=W₁ (undamped) Principle of Superposition…

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A: 1 here is centre side (inside ) the contour level is increase so this is contour of mountain.   2 P…

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Q: Question 3 This question is not about solving the stated problem, but about understanding it. A…

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Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

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Q: Find the integral: x+2/x-1 dx choices: a) x+ ln(x-1)3+C b) x+ ln(x-1)2+C c) x+ ln(x-1)4+C d) x+…

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Q: Given the function f(x) = -6 x -9 Evaluate f(8) = Find a when f(x) = 3 I

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A: We know that the upper base of the basketball looks like a circle therefore we will use the formula…

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A: After applying ratio test we have to tell about convergence of series.

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A: A detailed solution is given below

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Q: QUESTION 15

A: answer is in next step

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A: Given :   Radius : 4 inches Angle =135°

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A: We will calculate the limits by Limits rule

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A: We have to find C .

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Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1