If v = (1, 0, -1) and If w = (2, 1,0), what is vX W? (−1, 2, −1) (1, —2, 1) (2, -4,2) O(-2,4,-2) All of the above None of the above

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A: To verify:linear approximation of f(x, y) at (0, 0) is given by,

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Q: Let f(x) = x³ = x. We showed in an earlier section that f'(x) = 3x² - 1 and f'(x) = 6x. Use these…

A: Given,    f(x) = x3 - x   f'(x) = 3x2 - 1     f"(x) = 6x

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Q: Show that if a, b ER theN max {a,b} = ½/₂2 (a + b + /a=b/) and miN {a,b} = ½/2₂ (a + b = |a-bl).

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Q: Use the Second Fundamental Theorem of Calculus to find F'(x). = [₁₂√₁4 + 1dt t4 F'(x) = F F(x) = X

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Q: 4. The given limit represents the derivative of some function f evaluated at some number a. That is,…

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Q: I. Solve each system of equations using SUBSTITUTION METHOD {v=52 1. 5x - y = 6 2x²-3x + 2

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