1024worksheet10

# 1024worksheet10 - Polytechnic Institute of NYU MA 1024/1324...

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Polytechnic Institute of NYU MA 1024/1324 Worksheet 10 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100 1

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2 (1) A balloon is rising vertically over a point A on the ground at the rate of 20 ft/sec. A point B on the ground is level with and 30 ft from A . When the balloon is 40 ft from A , at what rate is its distance from B changing?
3 (2) Water is being withdrawn from a conical reservoir 5 ft in radius and 10 ft deep at 3 ft 3 /min. How fast is the surface falling when the depth of the water is 6 ft? How fast is the radius of this surface diminishing?

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4 (3) A point moves on the hyperbola x 2 - 4 y 2 = 36 in such a way that the x -coordinate increases at a constant rate of 20 units per second. How fast is the y coordinate changing at the point (10 , 4)?
5 (4) The adiabatic law for the expansion of air is PV 1 . 4 = C , where P is the pressure, V is the volume, and

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1024worksheet10 - Polytechnic Institute of NYU MA 1024/1324...

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