12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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A: Given that the owner of an orange grove estimates that 150 orange treesper acre will each yield on…

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A: The given initial value problem is y''-2y'+26y=0, y(0)=0, y'(0)=5

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Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u + t…

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A: The objective is to find curl F.

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A: We have to find the length of sides and area.

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, π]? A/

A: Answer: As per guidelines , we can do 1 question at one time , so please post other question…

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A: We will find the required.

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A: cos(α+β) = cosαcosβ - sinαsinβsin(α-β) = sinαcosβ - cosαsinβ

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Q: Evaluate the limit lim 8118 2 tan ¹(2x). Enter a simplified multiple of π or ∞ or -∞

A: This question is based Limits.

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A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

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A: Here, the objective is to find the mass and center of mass of the rod.

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A: We need to find area.

Q: 4. Geometric and non-geometric series. Determine the sum of the following series a) 2+ 2 + ² / + 2…

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Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

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Q: If ƒ^ = {(−7, 1), (-5, 8), (3, 11), (5,-1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5, 5)} what is f +…

A: If f=-7, 1, -5, 8, 3, 11, 5, -1 and g=-6, 4, -5, 3, -1, 7, 5, 5then to determine f+g.

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A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

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Q: Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones,…

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

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A: This question can be solved using the concept of logarithmic differentiation.

Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: 2. ∞ Σ Find the sum of the convergent series: n=1 1 4n2 –1

A: Find the sum of the convergent series 1/(4n2-1) from n= 1 to infinity.

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Q: dx 4+9х2-6х

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Q: Determine the values of where the function f(z) is not continuous. Label each discontinuity as…

A: Solution of given question is written in below steps.