1151 Exam 3 Review

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Unformatted text preview: ove. 4 3 2 2. Sketch the graph y x 3x 2 using your knowledge of limits, functions, and derivatives (first and second derivatives). x 1 2 Find all the points of interest (x and y intercepts, critical values, max and mins, concavities, etc). 3. Sketch a graph with the following properties: lim f ( x) 0 and lim f ( x) , f ( 2) f (2) 1 , f '(0) f '(4) 0 x f '( x) 0 on 0, 4 , f ' ( x ) 0 on , 0 4, 7 , f " ( x ) 0 on 2, 2 , f " ( x ) 0 on , 2 2, 7 Domain , 7 4. x 7 2 2 Find the area of the largest rectangle that can be inscribed in the ellipse x y 1 a2 b2 5. Suppose a rectangular box is to contain 10 cubic feet. The length of the box is to be twice the width. Material for the box costs $2.50 per square foot for the bottom of the box, $1.50 per square foot for the sides of the box and $2.00 per square foot for the top of the box...
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