HW 8 Schultz - silva(jrs4378 – HW08 – schultz...

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Unformatted text preview: silva (jrs4378) – HW08 – schultz – (54765) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The radius of a circle is increasing at a constant rate of 2 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 = 4 πC sq. ft./sec 2. rate = 2 C sq. ft./sec 3. rate = C sq. ft./sec 4. rate = 2 πC sq. ft./sec 5. rate = 4 C sq. ft./sec 6. rate = πC sq. ft./sec 002 10.0 points A point is moving on the graph of 4 x 3 + 6 y 3 = xy. When the point is at P = parenleftBig 1 10 , 1 10 parenrightBig , its y-coordinate is increasing at a speed of 7 units per second. What is the speed of the x-coordinate at that time and in which direction is the x- coordinate moving? 1. speed = 28 units/sec , increasing x 2. speed = 57 2 units/sec , decreasing x 3. speed = 57 2 units/sec , increasing x 4. speed = 55 2 units/sec , decreasing x 5. speed = 29 units/sec , increasing x 6. speed = 55 2 units/sec , increasing x 7. speed = 29 units/sec , decreasing x 8. speed = 28 units/sec , decreasing x 003 10.0 points If a snowball melts so that its surface area decreases at a rate of 1 cm 2 / min, find the rate at which the diameter decreases when the diameter is 48 cm. 1. 1 48 π cm / min 2. 1 24 π cm / min 3. 1 192 π cm / min 4. 1 96 π cm / min 5. 1 144 π cm / min 004 10.0 points A street light is on top of a 8 foot pole. Joe, who is 4 feet tall, walks away from the pole at a rate of 2 feet per second. At what speed is the tip of Joe’s shadow moving from the base of the pole when he is 10 feet from the pole?...
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This note was uploaded on 10/23/2010 for the course M 54765 taught by Professor Schultz during the Fall '10 term at University of Texas.

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HW 8 Schultz - silva(jrs4378 – HW08 – schultz...

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