Find fx, fy, and fz, and evaluate each at the given point. f(x, y, z) = x2y3 + 2xyz − 7yz, (−3, 1, 3)

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A: Option (C) is correct.See below the answer and explanation

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A: This question can be solved using the concept of maxima and minima.

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A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

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A: Explanation of the answer is as follows

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A: To find the domain and range of the function graphed below. To use the interval notation.

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A: Please follow the next step.

Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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A: We have to find graph and area of it.

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Q: ΗΣ 1 an find limnoo Зп σο n=1 - 2 11 ∞ Ο 0 Ο 3 Ο 52 sin(an)+11 4

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A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

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Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

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A: This question can be solved using the concept of Rolle's Theorem.

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A: given

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