Find a positive number for which the sum of its reciprocal and four times its square is the smallest possible. 1.

Q: Match the function with the graph. A) g(x) = (x-4)² -10 B) g(x) = x² + 4 10 x C) g(x)=x²-4 D) g(x) =…

A: Given: graph of the function is provided. To be find: the equation of the curve. Concept: the…

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Q: Where is optimization often applied and what is its importance?

A: Solution:Optimization:Optimization methods are used in many areas of study to find solutions that…

Q: 1. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let P = P(A) be the power set of A. Let R be the relation on…

A: (a) For any X ∈ P,            | X ∪ X | = |X|           | X ∪ {1, 2} | = |X| + |{1, 2}| - |X ∩ {1,…

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A: vertical asymptote  where a vertical line on graph or function not defined or denominator of…

Q: 4. 1. Let f (x) = (sinx)ʻtan(1 – x)e30x. Find the maximum of f(x) in [0,1] and & = 0.05. (by handly…

A: We will use Newton's method of optimization to find the maximum value of f(x)

Q: y=x^2 + 6x+ 3 function in vertex form, the graph to represent the function

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Q: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

A: The fuel efficiency y (in miles per gallon) for a certain fullsize car at various speeds x (in miles…

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: The total area of land is 15,000 square meters. (1). From question Picnic Area= 150003=5000 m2 Let…

Q: . Suppose the revenue, in dollars, for producing x chairs is given by r(x) = 90x and the cost to…

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Q: Hi, I am unable to click on link to follow steps since the work is show as an image. Can someone…

A: Taylor expansion of f at x=a : f(x) ≈ ∑n=0∞ fn(a)n!(x-a)n = f(a)+f'(a)(x-a)+f''(a)2!x-a2+...

Q: If the revenue for a company selling widgets at price x is R(x)=-10x^2+500x. Find max revenue and…

A: The revenue for a company selling widgets at price x is R(x)=-10x^2+500x.

Q: max s. t. 6x₁ +8x2 + 5x3 + 9x4 2x1 + x₂ + x3 + 3x4 ≤ 5 x₁ + 3x₂ + x3 + 2x4 ≤ 3 1, 2, 3, 4 ≥0 Solve…

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Q: ASSigned Media Question Help The accompanying table describes results from groups of 10 births from…

A: 0 0.002 0 0 0 1 0.011 0.011 1 0.011 2 0.035 0.07 4 0.14 3 0.115 0.345 9 1.035 4 0.207 0.828…

Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

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Q: Write the dual optimization problem to the following: min 2x^2+2x1x2+2x2^2 + x1 + x2 subject to…

A: As per the question we are given a nonlinear optimization problem and we have to find its dual…

Q: [Min f(x, y; t) = x2+ 4(y-3t)2+2x(y-3t)+ 2x Given P(t): (x; y) e R². (a) Find the optimal solution…

A: Given,        P(t):Min f(x, y; t)=x2+4(y-3t)2+2x(y-3t)+2x(x; y)∈R2

Q: Find two power series solutions of the given differential equation about the ordinary point x = 0.…

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