Find the radius and interval of convergence, R, of the series. En-1 2n

Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

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Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: cosh? Vx 4-S- dx Vx csch vx

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Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: Find the total area enclosed between y = x and y = a over the interval [-1,5]. NOTE: Enter the exact…

A: The region bounded  by y=x3 and y=x over the interval -1,5

Q: answer 29 and 30

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: To find the area of the region bounded between the given curves.

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: dx of xcosy+ycosx=xy

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

Q: NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

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Q: dx 1-S; 4+x2

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Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

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Q: If the region R is bounded between two circles x2 +y? = 1 and x²+y? = 16 , then we have: J| x²+y?)…

A: Let's find.

Q: If the derivative of f is f'(x) = (x – 1)(x + 2), then f is decreasing on (-2, 1) Select one: True…

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Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: Sx'e-2x* dx

A: ∫ x3e-2x4dxLet u=-2x4.=∫ -eu8du=-18·∫ euduSubstitute back u=-2x4=-18e-2x4Add a constant to the…

Q: 5- S(tanx + secx)² dx

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Q: f(x) = (1² + x)}!O(2r +1) 2. g(x) :

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: Find g'(3) given that f(3) = -5 and f'(3) = 4. g(x) = 3x² – 5f(x) g'(3) = i

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. 3x 1. 12xe dx

A: We have to find integration.

Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: Describe the graph of the equation. r = 19 sin 10t i – 19 cos 10t j O Itis a parabola in the…

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Q: d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

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Q: how do you find the equations of each of the lines (A,B,C(A,B,C) shown on the graph below.

A: As we know that; The equation of the line when it passes through the two points Px1,y1 and Qx2,y2.…

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: 5. S dx

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Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: Prove the identity. (1+tanx)^2 = sec^2x + 2tanx

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Q: 1. Ihe rodius of a circle is 9 centimeters. What is the area? 2. The diameter of a circle is 12…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: dx II. Evaluate the improper integral J x(Inln x)

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Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: We have to find the second solution of the differential equation.

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

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Q: Given that yı = 3e is a solution of the differential equation y" + 3y = 0. Then, by using reduction…

A: Here we have to use reduction of order.

Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

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Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: Howat Find the akeas fax the fallewing regions Area enclosed by the diagram to V= Sin 3o

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