We wish to construct an open topped box with a square base that has a volume of 864 cubic inches. Find the dimensions we should use if we want to minimize the amount of cardboard material to be used.
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f(x)=(1-x)(x^(2)-6)^(2) ;(3,-18)
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Could you please help me solve a couple of problems?
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verify that the function satisfies the hypotheses of the mean value thrm on the given interval then find all numbers c that satisfy the conclusion of the mean value thrm. f(x)=x^3-3x+2 [-2,2]
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An oil spill is expanding in a circular pattern outwards with the radius increasing the the rate of c meters/hour. How fast is the area of the circle changing when the radius is k meters?
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Find the dimensions of the rectangle of largest area that as its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=8-x^2
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3x^2+3x+xy=2 y(2)=-8 find y'(2)
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What is the smallest perimeter possible for a rectangle whose area is 16 sq in, and what are its dimensions?
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A continuous function defined for all x has the following properties: f is increasing f(5) = 2 f (5) = 1/2 f is concave down
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