Find the distance from the point S(0,0,12) to the line L: x = 4t , y = -2t z = 2t 3

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A: Given, I=∫-11∫-4-4x24-4x24-4x2-y2dydxor I =∫-11∫-4-4x24-4x2∫04-4x2-y2dzdydx

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A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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Q: L[(2t – e^5t)^3]

A: Please see the next step

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A: We have to solve by Laplace transform.

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A: Given function is f(x)=π2+x,    if -π≤x≤0π2+x,    if 0&lt;x≤π We can write it as f(x)=π2+x,   -π≤x≤π…

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Q: Find the flow of the field F = V(x² ze) once around the ellipse C in which the plane x + y + z = 1…

A: The given field is F=∇x2zey We have to find the flow around the ellipse in which the plane x+y+z =…

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Q: A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated…

A: We will use total derivative to find change  If f is a function of x and y  ∆f=∆x×∂f∂x+∆y×∂f∂y

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Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by +x, if…

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A: Answer :- Given statement:- All COVID-19 patients have high fever

Q: 1. Let R₁ and R₂ be relations on a set A represented by the matrices. 1 0 1 MR₁ = -GD-6D = 1 1 1 and…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…