Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

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Q: Use the table of frequently used Taylor series to find the sum of the series. - 3+ 6x - 9x + 12x -…

A: Solution

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A: The given linear system,x+z+2w=7y-2z=-5x+2y-z=-32x+y+3z-2w=0

Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: 1 10. Determine by the root test if Ln=1 converges or diverges. (In(n+1))“

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

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A: We need to find rate of change of area.

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Q: |2 tan(x)dx

A: I am attaching image so that you understand each and every step.

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A: Find your answer below

Q: Find polar coordinates to represent (-2, -2) with r >0 and 0 <0< 2T.

A: Cartesian to polar conversion (x,y)→(r,θ) where r=x2+y2 θ=tan-1yx

Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

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

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Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

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Q: ii) Evaluate the vector line integral of F, F. ds, where y is an oriented curve defined as follows:…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

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Q: 1 15. Find the first four terms of the Maclaurin polynomial for f (x) Express this series in sigma…

A: We have to find out series

Q: Consider the series an where n=1 (-Зп — 9)2n (-5n – 9)" an = In this problem you must attempt to use…

A: Solve the following

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A: We will  use concept of integration to solve this. In particular disc method  will be used.

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Q: Listen Use the Ratio Test to determine if the series converges or diverges. (2n) Σ 3n(nl)2 n=1…

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: y= f(x) -2- 2 4 8 Evaluate the following integrals by interpreting them in terms of areas: (a) f(x)…

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Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

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Q: Use Newton's method to approximate a root of the equation 5x'+ 7x+2 =0 as follows. Let 1 = 3 be the…

A: For Newtons Method we have to calculate xn+1=xn-fxnf'xn  for n=1,2,3,.....

Q: answer

A: We will find the particular solution.

Q: a multi-part problem. If F(t) = + 4t² 412 – t+ 9, find F'(t). 3 This is F'(t) = |

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

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Q: (2х - 9)4 dx

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Q: A wedding planner provides a Momento for each gas the Momento is a 1.5 ounce container of mints…

A: Unitary method: The unitary technique involves determining the value of a single unit and…