Suppose we are planning to make a taco from a round tortilla with diameter 8 inches by
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(a) We start by placing a circular cylinder of radius along a diameter of the tortilla and folding the tortilla around the cylinder. Let represent the distance from the center of the tortilla to a point P on the diameter (see the figure). Show that the cross-sectional area of the filled taco in the plane through P perpendicular to the axis of the cylinder is and write an expression for the volume of the filled taco.
(b) Determine (approximately) the value of that maximizes the volume of the taco. (Use a graphical approach with your CAS.)
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