b) Find 4°f(x) if f(x) = (3x + 1)(3x + 4)(3x + 7) ... (3x + 19). c) Let A = {1,2, 3}, B = {a, b, c}, and C = {x, y, z}. Consider the following relations R and S from A to B and from B to C, respectively. R = {(1,b), (2, a), (2, c)} and S = {(a, y), (b,x), (c, y), (c, z) }. Find the matrix representation of S°R

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A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

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A: Here, a'(t)=(1,2t,2t)a'(1)=(1,2,2)anda(1)=(2,1,3)

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A: Given:

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A: Given F→=2xsinyez,x2cosyez,x2sinyez. Find ∫CF→·dr→ along the path c:r→=sint,t,cost,-π2≤t≤π2. From…