The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-/P(x) dx V₂ = V₁(x) √ √ ² (x) dx (5) as instructed, to find a second solution y₂(x). y" + 2y' + y = 0; Y₁ = xe

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A: ex × ey  = ex+y  e-x = 1/ex

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A: We need to solve extrema problem.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: Topic:- application of derivatives

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A:

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Q: Əw ər Let w = xy + yz + zx, x = r cos(0), y = r sin(0), z = re. Use the Chain Rule to find when r=3…

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A:

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A:

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A: To find out the critical numbers and the number of critical numbers.

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A:

Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

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A: Basic differentiation identities are used.

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A: Original cost of the property=200,000Value depreciated by =10% per 6 monthst=4 yearsand n=2   (no of…

Q: Integrate: J [ xe*dx

A:

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A:

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

A:

Q: 5. (True/False) If f(x, y, z) = 1, then ffy f(x, y, z)dV gives the volume of V.

A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

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A: Given,  a=4i-j+8k, b=16j+8k

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A: Solution of the problem as follows

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A:

Q: Need

A:

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A:

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A: Solution is given below:

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A: This question can be solved using the area of triangle in three dimensional geometry.

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A: Given :cos2cos-1-12

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Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.