Find the number in the interval [ – 1, – 0.25] so that the sum of that number and its square is maximized. Let x be that number. A x = -1 в) х--0.25 x = -0.5 x = 0.5

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Q: Find positive numbers x and y, whose sum is 75, such that xy2 is maximized.

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Q: Find two nonnegative numbers x and y such that xy=72 and 9x+2y is minimized.

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Q: 2. Find the absolute maximum and absolute minimum values of fon the given interval. f(t) = t – Ve,…

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Q: Please

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Q: Find Positive nombers X$ Y Such that X+y = 78 and 24xy a is maximized

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Q: Find the largest interval where the following IVP is guaranteed to have a unique solution: (t²-4) y"…

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Q: Find the absolute maximum and minimum values off on D, where f(x, y) = x – 2xy+2y and D={(x,…

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Q: Find two nonnegative numbers x and y such that xy = 60 and 5x + 3y minimized. x =

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Q: Find the Wronskian for the set of functions.{ex, e−x}

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Q: q Find a positive numbers x and y such that x²+y= 48 and their product P(xjy) = xy is maximized. %3D

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Q: find the t-intervals on which c(t) = (t2, t3 − 4t) is concave up.

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Q: Find the interval(s) where f is concave up for f(x) -4x4-3x- 5x-10 0)

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Q: Find the intervals on which the function f(x)=e1/x is convex upward and convex downward.

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Q: For the function f(x) = sin² x, find the absolute maximum value M and the absolute minimum value m…

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Q: Find the absolute minimum and absolute maximum values off on the given interval. f(t)=t√ 25-t²,…

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Q: Find the critical point(s) of the function f(x, y) = -2r³ – 4ry + 2x – 5y – 1 and classify them as…

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Q: Find the points (x, f(x)) of the graph of f(x) = x4 − 4x3 − 2x 2 + 8x + 12 such that the normal line…

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Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

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Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

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Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.

Q: Find the absolute maxima and minima of the function on the given domain. 6) f(x, y) = 6x + 5y on the…

A: f(x,y) = 6x+5yfx(x,y) = 6     fy(x,y) = 5  (Hence No critical points of the function itself)Lets…

Q: 1. Use the Gauss forward formula with xo = 2.0,h = 0.15, n = 7 to find an estimate for f(2.5) if %3D…

A: Given: fx=xlnx. x0=2.0, h=0.15, n=7.   We can solve this by using Gauss forward formula