(a) If X takes on the values 0, 1, 2, and 3 with probabil-ities 1 125 , 12125 , 48125 , and 64125 , find E(X) and E(X2).(b) Use the results of part (a) to determine the value ofE[(3X + 2)2].

Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

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A: Solution:

Q: Problem B1: Prove that for all x E R sufficiently large, r³ – 7x > 4x2 + 2. -

A: That's easy. Thumb up. Have a good day!!!

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A: Solution.

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A: A LPP is written in standard form as  max (or min) z = c1x1 + c2x2 + · · ·+ cnxn subject to a11x1 +…

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Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

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Q: -xx-9 and y=-x+3 у -9-8-7-6-5-4-3 1 y=x: POINT(S): IN 76 NWA -2 N3456789 -2 -3 -6 -7 -8 23456 -9 +2…

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A: Consider the provided question, According to you we need to solve only part (d). (d)

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A: Both the questions are solved below.

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Q: 4. Prove that n(3n – 1)r x + 4x + 7x + ... + (3п - 2)x for n e N.

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Q: of 3 ty ?

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.