Find the radius and interval of convergence of the power series 】 (−1)” (x+3)” √2n n=1

Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos(x) dx

A: ∫tan8xcos9xdx

Q: Determine the amount of material in grams that will be left after 55 days. The inital amount of…

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given y''+y=csc(x) Complementary solution: We will solve this equation by variation of parameters…

Q: Find the area between the curves. 1/5 6/5 y=x y = 4x¹ The area between the curves is (Do not round…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, co). f₁(x)…

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Q: need the answer quickly

A: simplification

Q: 2) Evaluate |x + 11 dx

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Q: Find the general solution of the given higher-order differential equation. y"" - 7y" + 8y' + 16y = 0…

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Q: 000 is budgeted for production of the product, determine how that amo ion will be maximized when…

A: We are asked to find the maximize the profit

Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 60y + 90z =…

A: Let us know thatWe are aware of the parallel nature of the two lines with direction ratios A1, B1,…

Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: calculation for P.I ур cos²x D²+1 2 2 cos²x D² + 1 1 {3 2 21 - 1+ cos2x D² + I HOW DID HE GET THE…

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Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0

A: Follow the procedure given below.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Match the solution curve with one of the differential equations. f Ala Oy"+y=0 y" - 4y' - Sy=0 Oy" +…

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Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given: f1x=2+x, f2x=x, f3x=x2

Q: A) Let g(x) (5x+24 =x² 2x+8 x<-3 -3<x<4 x 24 a) lim g(x), lim g(x) X--3 evaluate the following…

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Q: Evaluate the iterated integral. ITT 4ze dy dx dz

A: ∫14∫01∫0x34ze-x4dydxdz

Q: Evaluate the integral. 6 1 (x² - 1)3/2 2 (x²

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: What is the difference between Rolle's Theorem and The Mean Value Theorem? Explain

A: See the details solution in below

Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: Evaluate the integral. (x6 + 4y³) dy

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Q: Solve the following ODES by Undetermined Coeff D Ş 17 4X y - 16 y = 19.2 € + 60e, y(a) = ý (0) -4X…

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Q: (x + y) dx + (3x + 3y - 4) dy = 0

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Q: lim n→∞ - 17n + 11 11"

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Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: We need to fill in the blanks.

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: We have to find the general solution of given DE by given family of function.

Q: Given differential equation -3x y"-sy" -4y' + 8y = e +8x9 (D³ - 20² - Auxilary equation m²³²³ - 2m²²…

A: We have to explain the particular solution.

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Evaluate the integral. if -2 ≤x≤0 [₁ f(x) dx where f(x)=4-x² if 0<x≤4 22 x Enhanced Feedback Please…

A: Here we have to find the integral.

Q: Find three positive numbers whose sum is 114 and whose product is a maximum.

A: follow the procedure given below.

Q: t Let f(x) = 4x4 + 6. (a) Use the limit process to find the slope of the line tangent to the graph…

A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

Q: What is the domain of the reciprocal function of f(x) = 5x+1? {x € R\x2} c. b. (x=Rxs-) a. d. {x =R…

A: We can answer the question as below.

Q: Given differential equation -3x yay"-4y' + 8y = e +8x² (D³ - 3D² 4D +8)y=e +8x2 Auxilary equation…

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Q: f₁(x) = 9, f₂(x) = cos²(x), f3(x) = sin²(x) linearly dependent linearly independent

A: Here given  functions are.  9. ,Cos2x  , sin2x

Q: Osaddle point none of these

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Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e - 3 y(x) =

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Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

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Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

Q: Find the gradient of the function at the given point. Function g(x, y) = ye-x Vg(0, 9) = Point (0,9)…

A: Given function: g(x,y)=ye-x

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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