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Unformatted text preview: Winchell, Daniel – Homework 8 – Due: Oct 17 2006, 3:00 am – Inst: Karakhanyan 1 This printout should have 17 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. The due time is Central time. version 312 001 (part 1 of 1) 10 points Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the pressure and volume satisfy the equation PV = C , where C is a constant. Suppose that at a certain instant the volume is 300 ccs, the pressure is 150 kPa, and the pressure is increasing at a rate of 10 kPa/min. At what rate is the volume decreasing at this instant? 1. rate = 22 ccs / min 2. rate = 16 ccs / min 3. rate = 18 ccs / min 4. rate = 24 ccs / min 5. rate = 20 ccs / min 002 (part 1 of 1) 10 points The radius of a circle is increasing at a constant rate of 4 ft/sec. Express the rate at which the area of the circle is changing in terms of the circumfer ence, C of the circle. 1. rate = 8 C sq. ft./sec 2. rate = 2 πC sq. ft./sec 3. rate = 4 C sq. ft./sec 4. rate = 4 πC sq. ft./sec 5. rate = 2 C sq. ft./sec 6. rate = 8 πC sq. ft./sec 003 (part 1 of 1) 10 points Determine the value of dy/dt at x = 2 when y = 3 x 3 2 x and dx/dt = 3. 1. dy dt fl fl fl x =2 = 102 2. dy dt fl fl fl x =2 = 103 3. dy dt fl fl fl x =2 = 106 4. dy dt fl fl fl x =2 = 105 5. dy dt fl fl fl x =2 = 104 004 (part 1 of 1) 10 points A point is moving on the graph of 2 x 3 + 3 y 3 = xy. When the point is at P = ‡ 1 5 , 1 5 · , its ycoordinate is increasing at a speed of 9 units per second....
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