Let T: P3 → R³ be defined by T (αo + a₁x + a₂x² + ³x³) B = {x³, x², x, 1}, and C = Given [7] Pc (T(u)). Pc (T(u)) = Ex: 5 = 2 -2a0 +2a1a2- 3a3 3ao - 3a1 + az - 2a3 -3a03a1-a₂ + 2a3 {Q.0·8) -3 -1 -2 2 -5 5 , use the Fundamental Theorem of Matrix Representations to find 4 -2 6 -6 Let u -3x + x³,

Q: Find R(t) if R′(t)=⟨1+2t,2e2t⟩ and R(0)=⟨1,3⟩.

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Q: 1. Let F(x, y) = 25x³ + 120x²y + 192xy? + 102y³ – 300x – 450y. Find the following: | ƏF (i). OF…

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A: a=1b=-2c=5Explanation:

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A: According to the given information,

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Q: If r(t) = i +tj + t²k,

A: r(t)=i+tj+t2kUsing the power Ruleddxxn=nxn−1

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