Check that the four points P(2, 4, 4), Q(3, 1, 6), R(2, 8, 0), and S(9, 2, −1) all lie in a plane. Then use vectors to find the area of the quadrilateral they define. (Use symbolic notation and fractions where needed. Enter DNE if the points do not lie in a plane.) A =

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A: to find out the derivative of the given function.

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A: #8

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A: See this solution in below.

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Q: Evaluate the integral. x+7 2 x² +64 dx

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Q: Given 10t² 14t 80 t³ 8t² Evaluate *10t² - 14t - 80 ³ - 8t² c) antidifferentiation Add Work - Submit…

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A: we will find the required.

Q: Solve for the particular solution: 4e-32-2 y = e-6x +3e-3x+2 ; y(0) = 1

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A: Topic: function

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Q: In x 4. lim = 1 x2x-1 x f(x) 0.9 0.99 0.999 1.001 1.01 1.1

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: Find lim Δx-0 f(x + Δx) = f(x, y) ΔΧ for f(x, y) = −2x – 9xy + 2y.

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