Let d: R2 × R2 →R given by

Q: (4,5,-3) and b = −i +2j+ k → COMPUTE: 3. bxa a·b

A: Given that, a=4, 5, -3 and b=-i+2j+k We have to find the value of b×aa·b.

Q: |Given f = {(x, y) E R × R : y = x² – x + 1} and g = {(x, y) E R × R : y = x – 3}. Find g¬ and go f.

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Q: Let f (x, z) = 4xz³ – 2x + and g(x, z) = 3x – z+ 2xz –6. - Find: af(x,z) blank 1: evaluated at: x=3…

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Q: Differentiate g(t) = (4t² – 3t + 2)-2 %3D

A: This question is related to differentiation, We will solve it using given information.

Q: Find f∘f where f(x)=3x−5 and f: ℝ→ℝ

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Q: or f(x) = Vx – 1, g(x) = x² - 3, find fog and go f. Give the domain of each mposition

A: Given f(x) = x-1           g(x) = x2-31) f∘g(x) = f(g(x))                   =(x2-3)-1…

Q: Evaluate f (x + y - z)² dV for the box B with dimension: [0, 8] × [0, 7] × [0, 3]. B (Use symbolic…

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Q: Let f(x, y) : V 125 – 3x? – 2y² - Evaluate f(1, 2)

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Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].

A: To calculate the required probability (using the data on conditional probability)

Q: Given r(t) = ⟨t, t2, t3⟩, find v(t) and a(t).

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Q: Given f(x, y) 90x + 80y - 2 – 4y? – xy, and evaluate f(8, 5). f(8, 5) = %3D

A: Given : fx , y = 90x + 80y - 2x2 - 4y2 - xy  To fine : f8 , 5 Solution : For value of fx , y , put x…

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: he function f(x)=3x2+2x

A: Introduction: A function is bijective if it is both injective and surjective and a function f(x) is…