Suppose a is a non-zero scalar, v = (-a, 2a, a), and w = (a, -a, 2a), which of the following equals (2v) × (-3w)? %3D

Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

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Q: Compute (2i + k) × (3j + 5k).

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Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

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Q: 3xy If z determine 2x - 3y

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Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: Calculate the triple product ā · (b x c), where ā =,b=, and č=.

A: Given vectors  a→=2 , -4 , 1b→=0 , 3 , -1c→=5 , -3 , 3

Q: Express as a polynomial.

A: given: a-ba3+a2b+ab2+b3 we have to express it as a polynomial.

Q: Find a polynomial that interpolates (−1,0), (0, 2), (1, 1), (2, 2) using the Newton form.

A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: (Vx + Vx – Vx –

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Q: Find a polynomial that fits the point

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Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: Vx4 +1 = 3x

A: To solve the above equation

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…