Use the Integral Test to determine whether the series > 'n² +1 is convergent or divergent. n=1 Show All Your Work!

Q: 71 Compute Σ (5k2 + k - 3) i=1

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A: The Right end point approximation formula is: ∫abf(x)dx=∆xf(x1)+f(x2)+f(x3)+...+f(xn) Divide…

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A: The given function is:f(x, y, z) = x +lny +cos z x is defined for all real numbers. So The domain of…

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A: Given query is to find the amount remaining after 360 years.

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Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: s(t)=t3-6t2+9t+11 Differentiating with respect to t s'(t)=ddt(t3-6t2+9t+11)=3t2-6*2t+9+0=3t2-12t+9…

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Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: If 3x² + 2x + xy 2 and y(2) -7, find y' (2) by implicit differentiation.

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Q: Use local linear approximation to estimate In(1.08)

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Q: √1² +25 -2 I dt

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Q: Determine whether the series converges using the limit comparison test. Σ20k²+k-20 k=1 The series

A: We have to determine whether the series converges or not

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: The idea of ratio test must be there to understand it properly. The explanation part is given below.

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Q: 8. Determine whether the integral is convergent or divergent. If it is convergent, evaluate it.…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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A: According to the company rule we can answer only first question and rest can be reposted.

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…

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Q: 21 · 8* cos (8*) dx =

A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

Q: 4. S (x + 1) √2x − 1 dx

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Q: - 3x³ - 5: For the function y = f(x) = df a. Find at z = 2. dx f'(2) = b. Find a formula for x = f…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: integration

Q: D(x) = 62-0.1x

A: answer is in next step

Q: a graphing utility to construct a table of values for the function. Round your answer to two deci H…

A: Given query is to find the table using graphic utility.

Q: Answer

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Q: In Exercises 33-42, determine if the given vector field has a potential. If so, find one. 34.…

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Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

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Q: 1.57 1 (1.5,2) (-0.7,02) (0.7,0.2) -1.5 -0.5 1 1.5 --0.5+ -1.5 Where does f have absolute minimums?…

A: Recall:  In graph, y-coordinate at the lowest and highest points are called the absolute minimum and…

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Q: 2. Find any excluded values, then solve the following equation: 1 1 I 2+2 IN

A: We have to solve the given equation 1/(x-1)+1/(x+2)=1/2

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