Calculus I review for exam 2

Calculus I review for exam 2 - Calculus I, Review for Exam...

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Calculus I, Review for Exam 2 Remember, the exam is comprehensive so you should go back over material from exam #1 as well. This review sheet should NOT be the only thing you study. It is just a source of additional problems to add to your homework. Section 2.6— Inverse Trig functions Find dx dy for each of the following: 1) 2 arcsin t y = 2) x e y x arctan = 3) ) tan(arcsin t y = 4) ) sec sin( x arc y = Section 2.7-- Related Rates 5) The edges of a cube are expanding at a rate of 5 centimeters per second. How fast is the surface area of the cube changing when each edge is 4.5 centimeters? 6) A baseball diamond has the shape of a square with sides 90 feet long. A player is running from first second at a speed of 28 feet per second. Find the rate at which the distance from home plate is changing when the player is 30 feet from second base. 7) A person flying a kite holds the string 5 feet above ground level, and the string is payed out at a rate of 2 ft / sec as the kite moves horizontally at an altitude of 105 feet (see figure). Assuming there is no sag in the string, find the rate at which the kite is moving when 125 feet of string has been payed out. 8) A girl starts at a poin A and runs east at a rate of 10 ft/sec. One minute later, another girl starts at A and runs north at a rate of 8 ft/sec. At what rate is the distance between them changing 1 minute after the second girl starts?

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This note was uploaded on 12/14/2010 for the course CHEM 101 taught by Professor Siegel during the Spring '07 term at Rutgers.

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Calculus I review for exam 2 - Calculus I, Review for Exam...

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