Question
a) Find the point(s) on the ellipse 4x^2 +y^2 =4 that are farthest away from the...
a) Find the point(s) on the ellipse 4x^2 +y^2 =4 that are farthest away from the point (1,0) (Hint: use the distance formula & maximize the square of the distance; be sure to apply the cookbook method)
b) A rectangular storage container with an open top has a volume of 10 m3. The length of its base is twice the width. Material for the base costs $10/sq meter. Material for the sides cost $6/sq meter. Find the cost of materials for the cheapest such container (V = L*W*H; the box consists of 4 sides and 1 bottom; area of each of these is length*width).
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