Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function p(t) = 4+ 8(t − 3) + 5(t − 3)², can also be written as p(t) = a + b(t − 2) + c(t − 2)² where a II II b = C =

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Q: For which value of x is A = x = 4 1 -4 4 0 -3 0 1 x NOT invertible?

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Q: Let B = {1, t − 8, (t − 8)²} : - and C = {1, t − 5, (t − 5)²} - be two bases for P2. The function…

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let B = a = The function p(t) = 2 + 4(t − 5) + 7(t − 5)², can also be written as p(t) = a + b(t − 2)…

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Q: If F(t) = 2tî - 5ĵ + t²k and G(t) = (1 – t)î +=k, find (F.G) (t). t 2t 2t - 2 2t - 2t² 3t - 2t²

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Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Using the substitution u = (A) (B) C D 1+1 du [₁ -1/2 du [(u ¹/2 - u-1/2) d du (u - 1) / u-²1) x + 1…

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Q: The function p(t) = 5 + 7(t − 9) + 2(t − 9)², can also be written as p(t) = a + b(t− 3) + c(t − 3)²…

A: We have to find the value of a,b and c using the given data.

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Q: Let V = C[0,1], p(t) = 1-t and q(t) = 1+t. Compute (p, q) 19 19 (b) (c) (d) None of these 5

A: Given V = C[0,1]p(t) = 1-t2q(t) = 1+t2

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Q: Find the general formula for T: R3 -> R3, if T(1,0,1) = (1,2,0) , T(1,-2,1) = (0,1,0) and T (0,0,1)…

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