Find three positive numbers whose product is 126 such that the sum of their squares is as small as possible. Provide your answer below:

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Q: (a) ( (b)( (c) ( (d) ( ) satisfies g(x). ) satisfies g(x). ) satisfies g(-3x). ) satisfies -g(3x).

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Q: 1. A. Use the following grading system to find Tim's final grade in Latin His Grades are: Tests: 72,…

A: Average Marks in Tests = (72+76+87+81)/4 =  79   Average Marks in quizzes = (87+80+90+92+86)/5 = 87…

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Q: 1) Show that the following three vectors are coplanar. u =(2, 3,-1) v= (0, 1, -2) w = (2, 4, -3).

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Q: culate the flux of the vector field F = (yz, xy, 3) through the elliptical cone S given by the…

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Q: 2. Let f(z) = = (+)² Show that lim f(z) does not exist. 2→0

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A: The proof is correct. More details on step 2 is attached. $\blacksquare$

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Q: Question 2 Write the following second-order differential equation as a system of first-order…

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Q: 4. In 2[z], let be the ideal generated by z and 4 (that is, the set of all elements of the form 4a…

A: Given: x,4 is an ideal generated by x and 4 . To show : 1∉x,4  and x,4 is not a principal ideal .

Q: 165°​, how many sides does the polygon​ have?

A: 24 sides. The details given as step 2.

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Q: Write each equation in the form M(x) dx + N(x)dy = 0 test for exactness and solve those equations…

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Q: Question 2 Use 8-bit two's complements to compute the sum. 89 + (-55)

A: This is a problem of counting and finite math.

Q: i) Given g(t)= = 3t, 15-2t, 6, 0 ≤t <3 3<t<4 4≤ t ≤ 6. Evaluate (a) f g(t)dt, (b) ₂ g(t)dt, (c)…

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Q: HW Solve the following qua.t.i.9.1.2.............. ......................

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Q: Write each equation in the form M(x)dx + N(x)dy = 0 test for exactness and solve those equations…

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Q: Solve y" - 3y + 2y = et sint

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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Q: 4. Let f(x) =tan(x). In the following we would like to calculate the erors. (a) First write down the…

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Q: Exercise 3. Compute the Christoffel symbols of a surface of revolution.

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Q: 11/2₂ (2x+3) y'=y+ (2x+3)" when x = -1, y = 0

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Q: Sketch the level curves of the function f(x, y) -10-9-8-7 -6 -5 -4 -3 -2 10+ 9 Clear All Draw: 8 7 6…

A: Given- The function: fx, y = xx + y To find- Sketch the level curve of the given function for c = -7

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Q: Find the minimum and maximum values of z= 7x + 6y, if possible, for the following set of…

A: Given that z=7x+6y with the set of constraints x+y≤9-x+y≤52x-y≤14 We have to find the minimum and…

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Q: Find all solutions of (a) e² = 1 (b) e² = i (c) e² = 1 + i

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Q: to be A function f: SOT is Te invertible if there exists a function Dia gez g: seid Such that

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Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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