Find three positive numbers whose product is 86 such that the sum of their squares is as small as possible. Provide your answer below:

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A: fx=1x Here, x changes from x=100 to x=94.

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

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

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A: The given price-demand equation is, x2+5px+10p=220

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: 21. If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1).

A: Topic - functions and derivatives We are given , f(x)+x2[f(x)]3=10  and f(1)=2We know…

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Q: can be written in differential form: where M(x, y) = M(x, y) dx + N(x, y) dy = 0 , and N(x, y) = The…

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Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) n=1 (sin(1))" X

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Q: what is the derivative of the inner function?

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Q: 2. Suppose a metal block is cooling so that temperature T (in °C) is given by T = 200.4-0.1t+25,…

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Q: 37-38 Explain, in terms of linear approximations or differen- tials, why the approximation is…

A: We are required to prove that 4.02  ≈2.005 using the method of linear approximations

Q: Applications of Planes in Space Find the acute angle (in degrees) between the planes - 2x - 4y + 2z…

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Q: 5.) Solve the following using the Union Rule, and then sketch a Venn diagram: (a) If n(A) = 5, n(B)…

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Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

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Q: Sketch the region enclosed by the given curves. Draw the approximating rectangle, label its height…

A: see below the figure of the region and rectangles that can be construct in the region.

Q: (a) d (√1+x²)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…