Find the radius of convergence for: (- 1)"2" n+6 n=1

Q: Evaluate the integral. 3x cos 2x dx O e3x [2 sin 2x - 3 cos 2x] + C 13 O 1 [2 e3x sin 2x + 3 cos 2x]...

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Q: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: (x² + y²)dx + 3xydy = 0

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Q: x*dx + y C x-) dy =0

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Q: 3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tst...

A: r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c) =∫-ππ|r'(t)...

Q: Solve the following and show your complete solution Find Taylor Series Expansion and Compact form of...

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Q: {intersection of [2,4) and (3,6]} oni c. (3,5) di [3,5) (4,5) Determine int s. Let 9. (3,4) union (4...

A: find the interval

Q: Use logarithmic differentiation to find f'(x) when f(x) = x° Cosx 1ト

A: We have to solve, use logarithmic differentiation to find f'(x) 

Q: Find the left most point on the upper half of the cardioid r=1+cos(theta)

A: we need to find leftmost point on the upper half of the cardioid r = 1 + cos(theta) by plotting in...

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls i...

A: Here we have to find the time when the diver hit the water and also the velocity.

Q: Solve the equation below by any method. Give an exact answer, using radicals if needed. 2x2 – 12 = -...

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Q: Find all real solutions to 2x'3 -4x6 – 6=0. 1/3 1/6

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Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subje...

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Solve the differential equation with appropriate method. 3xy2dx + (3x2y + 4y3)dy = 0

A: As per our guidelines we only solve 1st question and rest of the question should be reposted.

Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the constant of ...

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Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: y =2(2x - 3x) 1.

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Q: Find the slope of the curve at the indicated point. 25) y = 3 ,x =7 8 + X 1 B) m D)m -- 1 A) m = C) ...

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Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

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Q: Find the normal vector for ř(t) = (3t, sin t, cos t A. Ñ(t) = (0, sin t, – cos t) B. N(t) = (0, – si...

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Q: A marketing specialist determines that when a certain product is released, the number of social medi...

A: Given query is to find the derivative of the function at t = 4.

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: 3. Using a Surface of Revolution. Imagine that the parabola given by * = 4py is revolved about the y...

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Q: Sketch the region that corresponds to the given inequalities.

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Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4 -2(...

A: Given:        y= x+12x2+1-3

Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

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Q: What is the integral of f(x) within the interval [2, 6]? AY 4- 2 2 4. 8 Created with a trial version...

A: We can find the area as below.

Q: Consider the skew lines: rị(s) = (s+1, –2s+2, –s+3) r2(t) = (-t, 2t, 3t +2) Find the distance betwee...

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Q: 23Tt 4) sin - 6. 10 6) sin - 3 8) csc -5T

A: NOTE: Refresh your page if you can't see any equations. . use the property of cot function  use t...

Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: The function f(z) = 3 is represented as a power series 1- 4x 00 f(x) = Σ Cna". 0=t Find the specifie...

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Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: Compute the derivative of the following function. You do not need to graph it. g(x) = sin x· cos x

A: The given function is:gx=sinxcosx

Q: Add. Simplify by collecting like radical terms, if possible. 2/3 +5/3 The answer is (Type an exact a...

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Q: Determine the infinite limit. 2+ 4x lim x-2 x - 4x + 4 00 8 O O

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Q: Simplify the product. V3• /27 V3. V27 =O (Type an exact answer, using radicals as needed.)

A: This question is based on simplification of root.

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: Pls help ASAP

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: 3. The head of a fish measures 22 cm long. The tail is as long as the head and half the body. The bo...

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Q: A. Find the first derivative of the given function/s. 1. у %3D a-w, B. Find the second derivative of...

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Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: 1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled...

A: Given: A semi-circular through ,filled with water.  V=L[0.5πr2-r2arcsin(hr)-h(r2-h2)12]L=10ft , r=1 ...

Q: Simplify by factoring. V18

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