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Unformatted text preview: x : dy dx cos y. (c) Compute the derivative of f ( x ) = x e x . 2. Compute the following limits. (a) lim x → cosh x1 x 2 (b) lim x →∞ ± 1 + 3 x ² x (c) lim x → + 1 x + ln x 3. Let f ( x ) be the following function, deﬁned for all positive real numbers: f ( x ) = 3 + ln x < x < 1 3 cos( πx/ 2) 1 ≤ x ≤ 5 tan1 x x > 5 . . If x is your answer to this question, then your score is f ( x ), rounded down to the nearest integer if necessary. If f ( x ) is negative you will get a score of zero. 4. Sand falls from a conveyor belt at a rate of 10 m 3 /min onto the top of a conical pile. The height of the pile is always equal to the diameter of the base. How fast is the height changing when the pile is 4 m high? 5. Sketch a graph of the function y = ex 2 . 2...
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This note was uploaded on 02/12/2010 for the course PHYS 10 taught by Professor Muller during the Spring '10 term at Berkeley.
 Spring '10
 Muller
 Physics

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