13.) Find a power series for the function f(x): = 5 2-6x3*

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: To evaluate the following integral.

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Q: 2-54. Consider a home you purchase for $600, 000, at a down payment of 15% and at a rate of 4.5%.…

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Q: Determine and state whether the following series converges or diverges  justifying your answer.

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Q: Find all solutions to the equation. 2 cos 0 + √2=0 Write your answer in radians in terms of , and…

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Q: 59. lim (1-e-2) 818

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: lim (1 + 4x)x x→0+

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Q: Find 12+15+18+21+...+1056 using a technique from this section.

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Q: Calculate the integral approximation Så for 1 √₂ 7² dx. 2 x²+1 S8 =

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Q: 3-4. Consider the linear system x + y = z = 10 -x + y - 11z = 2 2x + 4y + (8 + a)z = 50 (a) Find the…

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Q: Show the following example with different approaches: limx→0 (sin(2x) cos(x−2) )

A: To find :-

Q: Compute the indefinite integral dx 16 + 9x2 S || sin (a) 8x dx 16+ 9x2 8 45

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