2. Find a basis (po(x),..., Pn(x)) for the vector space P (F) such that each p; (x) is a polynomial of degree n. Justify your answer.

Q: Find f (x) f(x)%3D = e f'(x) =]

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Q: a) Find the point on the graph of y = e where the tangent line has slope -4. b) Plot the graph of y…

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Q: Descriptive Statistics for the data set a = [3,7,2,4,8,4,1,3] find the first three moments by direct…

A: Answer:----.                   Date:----29/09/2021

Q: When four positive integers are added three at a time the sums are 1551, 1659, 1720 and 1736. The…

A: when four positive integers are added three at a time the sums are 1551, 1659 ,1720 and 1736. we…

Q: At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e At 099 A = 90…

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Q: 3. Matching a. r = 4 – sin 40 b. s = 1 – 4 sin 40 %3D C. r = 1+4cos 40 d. r = 4+ cos 40

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Q: Express the area of the shaded region in terms of (a) an integral with respect to x and (b) an…

A: To express the shaded region as an integral with respect to x,

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A: Ànswer:----.                           Date:---30/09/2021

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Q: please show all steps

A: The given definite integral is

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A: a) The region bounded by all three surfaces is solid given to us See the sketch given below

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Q: Evaluate the line integral a) | 3x'yds, where Cis the curve r(t)=5ti + (3t-7)j. Ostsl. b) (xy +…

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Q: 5. Let U = {(u₁, U2, U3) E R³|u₁ + u2 - u3 = 0} and V = {(V1, V2, V3) E R³v₁ - 3v2 +5v3 = 0}. (a)…

A: (a)

Q: Show clear steps please.

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Q: find f(0), f'(0), g(1), g'(1), and (g o f)'(0)

A: The graphs of functions f and g are given belwo:

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A: We are given the model of the population by p(t)=0.25t2+98t+2400,  0≤t≤8. The average rate of change…