12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

Q: Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

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Q: Evaluate: * dx re+1 5.) X-

A: Find your answer below

Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Given the function f(x) = x?e, Determine the open interval(s) where the function is concave up…

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Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: Find the following using the table below. 1 2 3 4 f(x) f'(2) g(x) 2 4 1 3 1 4 3 2 4 3 1 1 3 4 (x),6…

A: Given,

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: Find the values of p for which each integral converges. 2 dx xp b. x(In x)P a. x(In x)P 2 a. For…

A: Given problem:-

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: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: 1. Convert the second-order differential equation d'y + 2y = 0 dt2 into a first-order system in…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: Express the following sums using sigma notation. a. 4 + 5+6+7+8 b. 6+ 12 + 18+24 +30 +36 c. 12 +22 +…

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Q: Divide 4x^4-3x+11x^2-x-1 by (4x+1)

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Q: Evaluate the following integral. cos x dx -6x 1 sin 2x dx 2 - 6n O C. dx + cos 2x dx OD. dx + - 6x 6…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Let's find.

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

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

Q: Solve the initial value problem.

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Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula

Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: Consider the functions. f(u) = u + u g(x) = cos (x) Find the following function and derivatives.…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: g(x)dx% = %3D (Simplify your answer.

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Q: Draw an image o

A: answer is in next step

Q: 2370  +  Sin 253 0=

A: Sin253° = -0.9563

Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 1923e dz

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Q: Write the sum using sigma notation: 9+ 13 + 17 + 21 + ...+ 57 = B, where n=1 A = B =

A: Topic:- sequence and series

Q: Given a = 2t – Int and y = t² – In t, find the following. A) Determine the derivative in terms of t,…

A: Explained below

Q: 5 5 5 The functions f and g are integrable and f(x)dx = 7, g(x)dx = 4, and f(x)dx =2. Evaluate the…

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Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: find dy/dx by implicit differentiation is 3y^2-xy=10

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Q: For the given cost function C(x) = 52900 + 400x + x2, First, find the average cost function. Use it…

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Q: 1. Let p(x) =x'+2x-10x + 22x-15 Given that 1+v2i is a zero. Then find the Basic Mathematies for…

A: Reupload other questions according to bartleby guidelines

Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: x+3 4.) Evaluate: S x²+5x+6 dx 5.) Evaluate: S xlnx

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 7 for f(x) = 1+z T2(x) must be of…

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Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: onvert (-1, v3

A: Given point (-1, 3)

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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

Q: Solve the differential equation: xy' – y = 2x Inx 1.

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appre…

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

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

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

Q: 1. The planes defined by the equations x + 2y – 2z = 3 and 2x + 4y - 4z = 7 are parallel. Find a…

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Q: Find all zeros of f(x) = 4x° – 20x² + 36x – 24. Enter the zeros separated by commas. Enter exact…

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Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

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