-3 Let A = -4 -3 -1 9 Define the Lnead teanofamatia T:IR²> IR° by T2)= AR. Find the inages of ů= [oI and P= [6] undleR T. TCR) =

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Q: Fany)=ei + 2Y (+2x)e %3D shou conservatve compute SFds where Cu any curve Joining co. 20 CI2) Find a…

A: Given:-             Let F→x,y=e2yi→+1+2xe2yj→ (a) show F is conservative. (b)compute  ∫cf¯.t  ¯ ds…

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Q: y = x(x-1) 2K

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A: This is a problem of differential Geometry.

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Q: %3D xx u15 t) = 14 2. U(XP) =D0 3. Find he fourier senes for -ITLXLO [-TT, T )

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 3. Which Jf the following is equivalent to Laplace transforn the Inteyral. St 3(t -7) Cos 4T d? o e…

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Q: (IV). (10') Let u : 3 Find the coordinates of x with and x = respect to uj and u2.

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Q: Q2):- Find Y[Z] of signal Geometrical and Nu Y[n] (Cos wn). U[n]

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Q: Q2):- Find Y[Z] of signal Y[n] (Cos wn). U[n]

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Q: find Òw and dw for the Solloing functions w= Ln (xッ2xy).cs答かうメ)

A: Given the function w=lnx2+2xy·cscx33+yx2 We have to find ∂w∂x=the partial derivative of w with…

Q: et F = t+3 2i-fj+3t°k and G = e'i – 3f j+ e²* & %3D

A: Given are two vector functions F=t+3ti-t2j+3t3k and G=eti-3t3j+e2tk.

Q: af ar fe Consider f(1, y, z) = r² + y²z² and I=r sin 0, y =r cos 0, z = Or³. Find and

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Q: Consider (Figure 1). Assume (M): 490 lb-ft. (Mc)2-300 lb-ft, and (M.) 300 lb-ft. Figure (M₂) 15K ₂8.…

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Q: 1. The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they…

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Q: Q3) For the following function: 1 U= zlog(x² + y²) 1. Determine whether it is harmonic (satisfy…

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Q: Use the chain rule to find дz əs дz at || || Z = sin (8) r дz əs and дz at r = st, 0 = 54 + 14 8

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Q: dz and Q\ let z = In (² + 1) where =r sine find dr OP

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Q: a. If T(vi) = v, for each i, show that T = ly.

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Q: B) Find Laplace inverse for the equation: L(y) = Ans₁: Y = 3€ +2 Cos2+ & Sinat 2 5s² - 7s +17 s3 +…

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Q: Show: 2 x + 2 sin dydx + 2y 1 va sin-dydx = 4 2y 2 va

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Q: 6lve the n dy equation + (acos Han x) dy +y cou2x = Castoc by changingthe Independent vaiable.

A: Given differential equation is d2ydx2+(2cosx+tanx)dydx+ycos2x=cos4x            (1) Comparing with…