# hw8-24 - V on[0 1(g When is the voltage 200 Volts 1 3 The...

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Math 170-007 Homework 8/24 Fall 2010 1. A population of critters is measured by the function P ( t ) = 100(2 t/ 5 ) where t is measured in years and P is measured in critters. (a) Graph P ( t ) on the domain 0 t 15 years. Be sure to label your graph correctly. This includes at least: Name of the input axis. Units on the input axis. (If the problem includes such units.) Tickmarks on the input axis, with enough of them numbered so that scale is apparent. All of the above for the output axis. Sketch of the graph that appropriately conveys domain and range. (b) Find P (0) (c) Find P (10) (d) Find the change in P on the interval 0 t 10 years. (e) Find Δ P on [0 , 10] (f) Find Δ P on [1 , 2] (g) When will the population be 500 critters? 2. The voltage in a circuit is given by V ( t ) = 320 e 3 . 1 t where t is measured in seconds and V is measured in Volts. (a) Graph V ( t ) on the domain 0 t 3 seconds. Be sure to label your graph correctly. (b) Find V (0) (c) Find V (1) (d) Find Δ V on [0 , 1] (e) Find Δ V on [0 , 0 . 5] (f) Find Δ

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Unformatted text preview: V on [0 , . 1] (g) When is the voltage 200 Volts? 1 3. The following table gives the temperature of an object placed in a freezer as a function of time, x , in minutes. Temperature, T , is measured in degrees Celsius, ◦ C. x (minutes) 2 4 6 8 10 T ( ◦ C) 10 5.5 2.1-. 6-2 . 6-4 . 2 (a) Graph T ( x ). Be sure to label your graph correctly. (b) Find Δ T on [0 , 2] (c) Find Δ T on [2 , 4] (d) Find Δ T on [2 , 5] (e) When is the temperature 5.5 ◦ C? (f) When is the temperature 0 ◦ C? 4. From Schaum’s Outline , Ch 6: Problems 11, 12, and 20. Simplify all computations until you get the answer shown in the text. Hints and Answers 1. b) 100 critters; c) 400 critters; d) 300 critters; f) 100(2 2 / 5-2 1 / 5 ) ≈ 17 critters; g) 5 ln 5 / ln 2 ≈ 11 . 6 years. 2. b) 320 Volts; c) 14.4 Volts; d)-306 Volts; e)-252 Volts; f)-85 . 3 Volts; g) 0.152 s 2...
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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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hw8-24 - V on[0 1(g When is the voltage 200 Volts 1 3 The...

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