Trace the curve r² = 4cos*etan?e.

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A: The solution is as follows :

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Q: 4)Use Laplace transform to solve y +2y +2y=e", y(0) = 2, y'(0) = -1

A: Given y"+2y'+2y=e-t , y0=2 , y'0=-1 Ly"=s2Ly-sy0-y'0 Ly'=s Ly-y0 Le-t=1s+1 Now Ly"+2y'+2y=Le-t⇒Ly"+2...

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A: The given equation is, r(t)=sinhti^+coshtj^+t2k^

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Q: t DR) dende Dartine dövßes e te than show that Deo) X DR1) to DG20). o is atoxphic

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Q: Trace the curve of the following equations. 1. r2 = 4cos4ꝋtan2ꝋ.

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows: r2=4cos4θsin2θcos2θr2=4cos...

Q: Solve the differential equation. dy Y- (In x)4 dx A y =x (In x) 5 + cx B y= ! x5 + cx y = = x (In x)...

A: