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Unformatted text preview: Page 3 4. A ladder 3 meters long, with one end on the ground, is raised so that the angle θ of the ladder with the ground increases by 2 . 5 radians per minute. Consider the right triangle formed by the ladder, the ground, and a vertical line through the top of the ladder. How fast is the area of this triangle increasing at the time when the angle θ equals π/ 6? Math 165 Midterm Part II Page 4 5. Consider the function f ( x ) = x 44 x 310. (a) Find the intervals on which f is increasing and the intervals on which f is decreasing. (b) Find the intervals on which f is concave up and the intervals on which f is concave down. (c) Find all inﬂection points of f ....
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 Spring '08
 Hotlz
 Math, Calculus, Derivative, Convex function, exact values, mere answers

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