Unformatted text preview: π 100 ² . 5. (6 points) Two carts are connected by a 35 foot rope that passes over a pulley 12 feet above the ﬂoor. Cart A is being pulled to the left at a speed of 2 ft/sec. How fast is cart B moving at the instant cart A is 9 feet from the point on the ﬂoor beneath the pulley? 20 cart A cart B pulley 12 9 15 16 6. (5 points) Show that there is exactly one x ∈ R satisfying x 5 + e x2 = 0 . 7. (5 points) Do one of the following: (a) Show that tanh(sinh1 x ) = x √ 1 + x 2 ( x ∈ R ) . (b) If g ( x ) = 1 + x + e x , ﬁnd g1 (2) and ( g1 ) (2)....
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 Spring '08
 WILKENING
 Math, Calculus, Derivative, Following

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