Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 2" 1. 4n n=1

Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: QS) A) Graph the curve Y-- 2x (x - 4)(x + 6)(x - 2) between the value of x (0, 4). then find the are...

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Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: 00 Suppose that anis an infinite series with partial sum SN= 7- 10 16 What are the values of anand a...

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Q: VI. Give the Maclaurin series expansion of f(r) = In(2 - 3). Determine its interval of convergence. ...

A: This is a problem related to expansion of the given function. By using taylor series at 0 point we w...

Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

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Q: Find the radius of convergence and the interval of convergence. k(k + 10) k=1 Radius of convergence:...

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Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2 =-x...

A: The given differential equation is; y'+y/x =y2x

Q: sec ec-'(2y cos r) = x"

A: This is a problem of derivative of the given function. By using general formula of derivation we wil...

Q: 8. A 1.25 acre lawn is to be sodded with 'Cavalier' zoysiagrass, which can be delivered at a cost of...

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show and...

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Q: 8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Di...

A: Here, an=8n5+3nn5+7

Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...

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Q: Q.2\Prove the Maclaurin series: (-1)"-1xn In(1+ x) = En=1' ,-1<x<1.

A: We have to prove maclaurin series.

Q: 2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the f...

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Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Fin d the intervals on which f (il I a creassing and decreasing are Con cave uP and con cave down an...

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Q: 5. Classify each quantity as a Vector or a Scalar. Circle the correct response: a) a car drives 50 k...

A: Topic = Algebra

Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: ( sin23ß cos11ßdß

A: solve integration  2sinA.cosA=sin2A 2sinAsinB=cos(A-B)-cos(A+B)

Q: Evaluate

A: We will evaluate the integral. 

Q: Solve the differential equation by integrating factor method, dy (x + 1)2+ (x +2)y = 2xe¬*. dx

A: Given,            x+1dydx+x+2y=2xe-x.To find : Solve the differential equation by integrating factor...

Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: Using the figure shown, find sing (3, - 4) -3/5 3/5 4/5 -4/5

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

Q: 5) Find the Maclaurin series for each of the following functions and give the interval of convergenc...

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Q: find as xm Plotes of the following carre then graß h them X-4

A: Given query is to find the asymptotes and the graph of the curve 

Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on

A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical...

Q: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +...

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Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: Find the critical point(s) of the function f(x, y) = 6x²y – 12a2 – 3y? and use the second derivative...

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Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Test the series for convergence or divergence using the Alternating Series Test. in 2(-1)"- n° + 7 n...

A: Given query is to find the series converges or diverges.

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

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Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have...

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

A: As per guidelines I can only solve first three subparts , remaining can be reposted

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of...

A: upper triangle make 25' with top of flagpole so now using trigonometry use tan25 = (flagpole length ...

Q: 1. Which of the following argument is an example of deductive reasoning? *   a. John got a perfect s...

A: As per bartleby guidelines we only give first three question answers. 

Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: If Q = 10F* – -+ F3 + 3F2, then find Q""(2).

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