If y satisfies dy dx 2xex², = then (a) y(In e) = (b) y(In e²) = y (0) = 1,

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A: We have to find the value of p for divergence according to the given information

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Q: Question 2 Solve the given differential equation (where the function is subject to the given…

A: y'' + 4y' + 29y = 0                 y(0) = 1 and y'(0) = 2let D = differential operator D2y + 4Dy +…

Q: (14) Give the appropriate form of the partial fraction decomposition. 2x+32 (x+1)(x+7)

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Q: Evaluate the following integral using integration by parts. In 22 xe Xex dx In 22 S Xex dx = 0 (Type…

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Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

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A: Let's solve given diffential equation by using Laplace transform.

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A: A point x=a is said to be a critical point of f(x) iff f'(a)=0

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A: GIven Cost function:- Cx=x32000-x250+50x+20,000

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. sin(In 41x) X dx

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Q: Q2. Solve the following ODE with condition y(2) = -4 and y' (2) = 14. y" + 2y + 5y = 50t - 100

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Q: the reference angle of an angle -145 degree?

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Q: Given a first-order differential equation: /1 + x² dy-ydx = 0 a) What is the best solution method in…

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Q: entify a technique of integration for evaluating the following integrals. If necessary, explain how…

A: Topic -Integration  We are given  ∫4x sin(5x) dxwe know that multiplication of two functions which…

Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x)) cos(9x) y'(x) =…

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Q: d. y'= 1+y² 1+t² y(0) = -1

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Q: 2) Solve 2y" +5y' = 10, where y(0) = 1, y'(0) = 0. (hint: use integrating factor)

A: Given :solve 2y" + 5y' = 10 , where y(0) =1, y'(0) = 0

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Q: How would you evaluate S tan 7x sec ³x dx? Choose the correct answer below. OA. Rewrite the power of…

A: I am attaching image so that you understand each and every step.

Q: dv 22² = 3/ dt v-1 32 a) Write the given first-order LDE in standard form. b) Solve for the general…

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Q: ind y" if y tan x. A] 2sec²x tan x D] 2 sin x + 2 cos x [B] secx tan x [E] sec x tan²x [C] 2 cos x…

A: y=tan(x)    ddx(  tanx ) = sec2x

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Q: sin(theta/2) -1 =0

A: Given query is to find the angle.

Q: Find the Inverse Laplace Transform of (2s - 5)/(s² + 2s + 10) O 2e^tcos3t - (7/3)e^-tsin3t) O…

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Q: Number 1: Given a first-order differential equation: /1 + x² dy − ydx = 0 A) Solve for the general…

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Q: dentify a technique of integration for evaluating the following integrals. If necessary, explain how…

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: Solve the equation: 5-2 = 32+1

A: See this solution in below.

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Q: Find dy/dx by implicit differentiation. (5x^3)(y^2)−(7x^2)(y)=2

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Q: Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x² y³ - ky)dy = 0 a) Solve…

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Q: 1. We are interested in evaluating the integral 3 [√9-2² dr. Note that this integral gives you the…

A: Given: ∫039-x2dx a ) Let fx = 9-x2 Using Riemann sum with 3 rectangles and right-hand endpoints we…

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Q: Find the absolute maximum and absolute minimum values of the function f(t) = √t · (3 – t) on the…

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Q: 3) Suppose that f mx² + ax + bdx = m, a, & b are constants and C is an arbitrary constant. For each…

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Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

Q: Graph and describe transformation of the following function: f(0) = -3csc (0+)-1 where 0 ≤ 0≤ 2. Use…

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Q: 2. Separation of Variables Determine which of the following differential equations are separable. Do…

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Q: a. Plot the polar equations r = 10-9-8 Clear All Draw: (xx) = (1 5 and r = 8. 10+ 9 & d 6 8 9 b.…

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Q: CALCULUS

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Q: Determine the least possible degree of the polynomial function shown. The least possible degree…

A: We have to determine the least possible degree of the polynomial functionshown.