1. (32.12) Determine the radius of convergence and the interval of convergence n!(2a - 1)". n=1

Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

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Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

Q: (x + 2)" 5n n=1

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Q: 9 – 4.x² -dx Evaluate: 9 – 4.x² – 2 sin () +C A f (x) = - B /9 – 4.x² + 2x sin- () +C f (x) = f (x)…

A: ∫9-4x2x2dx

Q: Evaluate (5+=3+3)+

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Q: dx Evaluate: xV x2 +4 (A None of the given choices ® n Vx2+4- 2 + C x² + 4 +2 Vx²+4-4 +C x² + 4 + 4…

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Q: What is wrong with this calculation? 1 dx = In 1- In 1 = 0 %3D Choose the correct answer below. 1. O…

A: Given expression is                                         ∫-11 dxx = ln x-11 = ln 1 -ln 1 =0    We…

Q: If y = x + ex, find dx/dt.

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

Q: Finding the Slope of a Graph In Exercises 23–26, find the slope of the graph of the function at the…

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Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

A: Given 4x2-9y2=1 To find dydx

Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

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Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: Evaluate Sum 80

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Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

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Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

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Q: In solving the antiderivative of f(x)= 3sin(x) + 4cos(x) +5 by miscellaneous substitution, the…

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

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Q: x² + 64 Using trigonometric substitution, given - dx, the simplified form of the integral is: (sec…

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Q: Sketch the region of integration and change the order of integration for the integral .3 A f(z,1)…

A: Given problem:-

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: The general solution of the second-order linear homogeneous differential equation y" +6 y=0 is y=…

A: Let's find.

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

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Q: Qel Fnd the lais Llim hth Cosh んう0 Sinshe-Cosl 2lim メa00 2x2_8

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Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: 3. Find dy/dx x = Vy + Vỹ 1 + Vx 4. Find the second and third derivative of y = 5. Find dy/dx y =…

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Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

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Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

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Q: Question 1 9- 4.22 Evaluate: (A) 9 – 4a² + 2 sin-' () +C f (x) : B 9- 4x2 – 2x sin f (x) = V9 – 4.x2…

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Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: dæ Evaluate: 9x² + 4 A None of the given choices B f (x) = -4 ln 9x² + 4 + 2 + C f (x) = -2 ln 9x2 +…

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Q: Determine if the equation is separable. If so, solve the initial value problem. " e'y'(t) = t (In…

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Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

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Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

A: Given query is to find the value of the integral.

Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: each of the problems, solve the given differential equation. 1. y` = x2/y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: - 4 + e-6x - dx e4x 23)

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x2 (in…

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Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

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Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

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Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

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Q: u+ 2v 4] = 1+ vw; w, and vw. w

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Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: 104. x + 4xy – y³ = 6

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