Find the sum of the series Σ /n+4 n = 1

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A: Given problem:- A particle moves with position function   S=t4 -4t³ - 20t² + 20t, t≥ 0   (a) At what...

Q: Suppose the Maclaurin series f(x) is f(x) = >) 2 n=0 Find the Maclaurin series for the following.

A: To solve the following problem

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Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

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Q: fcos cos² xdx 2.

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A: x=3t1y=2-t1z=-1+t1andx=1+4t2y=-2+t2z=-3-3t23t1=1+4t2  ...(1)2-t1=-2+t2 4-t1=t2  ...(2)-1+t1=-3-3t22+...

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A: Let a,b,c are position vector of point A,B,C respectively . Therefore a=-3i+j+5k, b=i+k c=-2i+3j-4k ...

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Q: If f'is continuous, f(1) = 0, and f '(1) = 7, evaluate %3D lim (1 + 5x) + f(1 + 6x)_

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Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/f...

A: Given query is the length of x and y.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: x 9x x-3 f(x)=9x/x-3 -100000       -10000       -1000       1000       10000       100000         b...

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Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and d...

A: topic - function and application of derivatives

Q: (d) 5 (-1)" Vn +1 n=1 1 (e) Σ- nylnn n=2 n (f) 2 In Зп + 1 n=1

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Q: The height (in feet) of a stone thrown upward on another planet is given by the function f (t) = -4t...

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Q: For the given cost funchon CO) = 72900+e 0OX +x2 finad: the produchon level that will haininize the ...

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Q: S sinxcos(2x)dx

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

A: Question- For the following function, a) give the coordinates of any critical points and classify ea...

Q: n 1: Evaluate the ff. indefinite integrals. 1. S (12x³ – 6x² – 4x +) dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 3. S (xº – + 2ex) dx

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Q: x 3 For the function f(x)= 3 27 ·x+39 2 - 4 What is the range of value over which the function is de...

A: The given function is: f(x)=x33-34x2-272x+39⇒f'(x)=x2-32x-272&f''(x)=2x-32

Q: 2 decimal places and include units. Let pi be equal to 3.14. Get the circumference f the circle and ...

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the produ...

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Q: Cos 3n (8) Σ 1+ (1.2)" n=1

A: Given problem:-     To find:- Determine whether each of the following series is convergent or diver...

Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your...

A: This is a problem if numerical method. Based on the formula of Newton's method we will solve for roo...

Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2), А-і-7...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: For given sequence we have to check its convergence first we have to check    limn -> ♾ | (-1)n s...

Q: omework. Find Sup, Inf , Max, Min of the following subsets of R: S4 = {x € Q : x? < 2}.

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Q: x + 2 1. If f(x) = and g(x) = 2x + 5, find: x- 2 (a) fog and state its domain (b) (g•f)(-2) (c) (f•g...

A: To find out fog(x) 

Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........

Q: 2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regi...

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Q: Evaluate the following integrals: S sin 'xcos x dx 1.

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Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: The interval of convergence of the power series (-1)*(x+2)" (n+1)422 OA -651s2. OB. None of the choi...

A: The given series is: ∑n=0∞(-1)n(x+2)n(n+1)422n...(1) Let, an=(-1)n(x+2)n(n+1)422n, n≥0

Q: *43メー バ+5 K

A: Please see the answer below.

Q: x6 (x) 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find the derivative of the function at Po in the direction of A f(x.y) = 2xy + y², Po(-6, - 4), A= -...

A: The given function is : f(x,y)=2xy+y2, P0(-6,-4),A=-2i-2j. 

Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1 D...

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Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: 3. Find the inverse of f (x) and check your answer. 3x - 5 State the domain and the range of f and f

A: The given function is: f(x)=23x-5

Q: 183. The output of the show frame-relay pvc command shows "PVC STATUS = INACTIVE". What does this me...

A: The command PVC STATUS provides the status of the PVC.

Q: I. Solve for the derivative of the functions using chain rule. Box your fina answer. 3 1. f(x) = (;r...

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Q: 24 Σ 28. 3"-1

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Q: (-5t -2st5-1 Given that f (t) ={2At– 2B, -1<t<l_ . 6–13t t21 Find the domain of f (t). Find the valu...

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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