/hich of the following subsets of P2 are subspaces of P2? A. {p(t) | So p(t)dt = 0} B. {p(t) | p'(t) + 9p(t) +3 = 0} C. {p(t) | p(0) = 7} D. {p(t) | p'(t) is constant } DE. {p(t) | p'(2) = p(1)} F. {p(t) | p(4) = 0} %3D

Q: assume that Pr[A′]=0.55, Pr[B]=0.35 , and Pr[A′∩B]=0.2. (1) Pr[A∩B]=Pr[A∩B]=   (2)…

A: Solution : Given information; P(A')=0.55 P(A)=1-P(A')=0.45P(B)=0.35 and P(A'∩B)=0.2

Q: T(1,1)=(5,0) Let T:²²be defined as, T(1,0)=(2,6) Then, T(3,2)=(12,6) (a) T(0,1)=(-3,6) (b)…

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Q: 4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: ß= {₁, 2, e3} and a = (e) If…

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Q: 4. Define Let T: M2x2 (R) → P2(R) by T (a b) = (a + b) + (2d) x + ba². c d B = {69). C )·(9)· (9)}…

A: We will find the matrix with respect to the basis.

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A: The objective of this question is to find the coefficients c0 and c1 of the linear function f(t) =…

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: I find the 1 f (t) = co + C₁ Sing least squares. best to the fit line or function of the form points…

A: x y x2 xy 0 2 0 0 1 2 1 2 1 6 1 6 ∑x=2 ∑y=10 ∑x2=2 ∑xy=8

Q: 2 - 1 Fit a cubic trend function to the data (- 2,11), (- 1,13), (0,13), (1,12), (2,11). Let po(t) =…

A: Given, The data                           -2, 11, -1, 13, 0, 13, 1, 12, 2, 11 and the t-coordinate…

Q: 6. (.. Find the length of the vector of mismatches (the error vector) between the data set and a…

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Q: 9. In this exercise, T: R2 R2 is a function. For each of the following parts, state why T is not…

A: Given function is T:R22 is function we have to prove that why T is not linear in upcoming parts.

Q: Find the functionr that satisfies the following conditions. r'(t) = (1,4t ,5t4); r(1) = (7, – 6, –…

A: Given that

Q: F . dr, (c) Let f(x, y, z) = x³ + 2yª + 325 and F consists of three line segments from (1,0, 0) to…

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Q: Use a least squares approximation to find the best linear fit (i.e., the best line) L(t) = C + Dt,…

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Q: a) dx dt dy dt =x+√3y+et √3x-y+e³t = ||

A:

Q: 5.) a y= 9f(b(x4)) +k a, b,4, and k ex plain graph f (x) What

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A:

Q: The maximum error for F=yx2+y+y2 are |(2xy)Ax| +|(2y+1 + x²)Ayl |(2x + y)Ax| + |(2y + x)Ayl x|Ax|…

A: Given function is, F=yx2+y+y2