Worksheet (Curve Sketching &amp; Optimization Problems)

# Worksheet (Curve Sketching &amp; Optimization Problems)...

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Worksheet Jenny Shi Nov 11, 2007 1. Use the guidelines of section 4.4 to sketch the curve. (a) = - . y 1x2 9 (b) = - . y x5 x (c) = - , < < . y 12x sinx 0 x 3π (d) = ( ) y ln sinx . 2. Find a positive number such that the sum of the number and its reciprocal is as small as possible. 3. Find the area of the largest rectangle that can be inscribed in the ellipse
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Unformatted text preview: + = . x2a2 y2b2 1 4. If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. 5. Find the points on the ellipse + = 4x2 y2 4 that are farthest away from the point (1,0)....
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