hw11-30-B - 75 3 Use exactly one rectangle Shade an area...

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Math 170-007 Homework 11/30-B Fall 2010 Suppose that f ( t ) is the function whose graph is shown at right. f ( t ) 4 2 -2 -4 2 4 6 8 t 1. Fill in the table of values for the function g ( x ) = i x 0 f ( t ) dt . x 0 1 2 3 4 5 6 7 8 9 10 11 12 g ( x ) 2. Graph g ( x ) on the domain 0 x 12. Be sure to properly label your graph. 3. Fill in the table of values for the function h ( x ) = i x 6 f ( t ) dt . x 0 1 2 3 4 5 6 7 8 9 10 11 12 h ( x ) 4. Graph h ( x ) on the same axes as g ( x ) above. 1
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5. Suppose that v ( t ) measures the velocity of a moving object as graphed at right. As- sume v is measured in ft/min and t is in minutes. Let s ( x ) = i x 0 v ( t ) dt 2 1 -1 -2 v ( t ) 1 2 3 4 t Fill in the table of values for s . Approximate answers are su±cient, but all answers must have correct units. x 0 min 0.5 min 1 min 1.5 min 2 min 2.5 min 3 min s ( x ) 6. With v and s as in Problem 5: (a) Estimate Δ s on the interval [2 . 5 , 3]. Include correct units. Shade an area that matches your computation. (b) Compute Δ s Δ x on the interval [2 . 5 , 3]. Include correct units. 7. With v and s as in Problem 5: (a) Estimate Δ s on the interval [2
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Unformatted text preview: . 75 , 3]. Use exactly one rectangle. Shade an area that matches your computation. Include correct units. (b) Compute Δ s Δ x on the interval [2 . 75 , 3]. Include correct units. (c) What was the height of your rectangle? What are the units on rectangle height? 8. Repeat all steps of Problem 7 for the intervals [2 , 2 . 25] and [1 . 5 , 1 . 75]. 2 Hits and Answers 1. x 1 3 5 7 9 11 g ( x )-3-3 4 11.5 15.5 15.5 3. x 6 h ( x )-8 5. These are approximations based on my counting of squares. Each square has area 1 / 16, so: x (min) 0.5 1 1.5 2 2.5 3 s (ft)-9 / 16-8 / 16-2 / 16 6 / 16 17 / 16 29 / 16 6. a) .75 ft; b) 1.5 ft/min. 7. a) .375 ft; b) 1.5 ft/min; c) 1.5 ft/min. 8. (b) and (c) should give the same answer and the same units. 3...
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This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

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hw11-30-B - 75 3 Use exactly one rectangle Shade an area...

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