A rectangle is to be inscribed between the parabola y = 4 -x² and the X- axis, with its base on the x-axis. What value of x maximizes the area of the rectangle.

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A: Given that  John wants to enclose his rectangular garden. One side of his garden is up against his…

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A: First make equation and then differentiate

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Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

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Q: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a…

A: topic- application of derivatives

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A: Given informationRectangle base is on x axisTop on parabola

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Q: Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6),…

A: Given  The quadratic function y=ax2+bx+c and its graph is passing through the points 1,6,-1.-4  and…

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Q: Find the area of the largest rectangle that can be inscribed in the region bounded by the graph of…

A: Given: y = 4-x2+xArea of the rectangle = xyA = x(4-x2+x)= 4x-x22+x

Q: A rectangle is bonded by the X axis and the Parabola f(x)=16 - 0.25x^2. What length and width should…

A: NOTE: Refresh your page if you can't see any equations. . the length of the rectangle is  and the…

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A: Here I am attaching image so that you understand each and every step.

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A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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A: use right angle triangle concept  pythagorean triplet use concept of maxima minima  permeter of…

Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

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A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

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A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

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Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

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Q: how to divide the parabola (x4-16)/(x-2)  and x4 is x to the 4th power

A: divide the parabola (x4-16)/(x-2)  and x4 is x to the 4th power

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Q: Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more…

A: According to the given information, it is required to explain the given statements. First it is…

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…