Consider the ellipsoid x² + y² + 42² = 41. Find the acute angle that the tangent plane at the point (3, 4, 2) makes with the .xy- plane. Express the angle in degrees and round its value to the nearest integer. 0 =

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Q: PROBLEMS, SECTION 1 1. If u = 2²/(x² + y²), find au/ar, du/dy.

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Q: -5,-4,-3,-2,-1} U [0, +∞o) in EL

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Q: 12. a. For each of the following two subtraction problems, discuss two different ways a student…

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Q: Q3. that Let g: Rm → R" and h: R¹ → Rm be Co mappings. Prove (goh)* = h* og*.

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Q: 20. You distribute 25 identical pieces of candy among five children. In how many ways can this be…

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Q: (c)(i) Use the substitution x = tan²0 to show that √x 。 (1 + x² ) ² (ii) Hence find in simplest…

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Q: In an integral domain, show that a and b are associates if and only if&lt;a&gt; = &lt;b&gt;.

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Q: number o such that if 0< x-1.5 <8 then x² 1 1.5²

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Q: 2. Find x, y and z using Gaussian elimination: x + 2y + 3z = 17 3x + 2y + z = 11 x − 5y + z = −5

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Q: Suppose that when the time index t = 5, there is an actual demand of Y5 = 52, a forecast of F5 = 62,…

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Q: Find the first derivatives. 1. f(1) = (1² + 1)5 2. f(P) = P³ + 3. v(1) = 41² +11V1 + 1 4. g(y) =…

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Q: Let F, F ′ be forests on the same set of vertices, with ∥F ∥ < ∥F ′∥. Show that F ′ has an edge e…

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