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# hw8-26 - s(with units on each of the intervals i[0 1 ii 5 1...

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Math 170-007 Homework 8/26 Fall 2010 1. If not already completed, continue with Schaum’s Outline , Ch 6: Problems 11, 12, and 20. Simplify all computations until you get the answer shown in the text. 2. 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. (b) Find the rate of change of P on the interval 3 t 5 years. Correct units are required. (c) Repeat for the intervals: i. [4 , 5] ii. [5 , 6] iii. [5 , 7] (d) In your graph from part (a), sketch secant lines whose slopes match these four rates of change. (e) Compute the rate of change of P on the interval [5 , a ]. 3. The position of a moving object is measured by the function s ( t ) = 2 sin( π ( t - 0 . 5)) where t is measured in minutes and s is measured in feet. (a) Graph s ( t ) on the domain 0 t 4 minutes. Be sure to label your graph correctly. (b) Find the rate of change of

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Unformatted text preview: s (with units) on each of the intervals: i. [0 , 1] ii. [ . 5 , 1] iii. [1 , 1 . 5] iv. [1 , 2] v. [1 , a ] (c) Sketch secant lines for the ±rst four rates. 4. The voltage in a circuit is given by V ( t ) = | t | where t is measured in seconds and V is measured in Volts. 1 (a) Graph V ( t ) on the domain-3 ≤ t ≤ 3 seconds. Be sure to label your graph correctly. (b) Find the rate of change of V (with units) on each of the intervals: i. [-2 , 0] ii. [-1 , 0] iii. [0 , 1] iv. [0 , 2] v. [0 , a ] (c) Sketch secant lines for the ±rst four rates. Hints and Answers 2. d) 100(2 a/ 5-2) a-5 Critters per year; b) plug in 3 for a ; c) plug in 4, 6 and 7. 3. b)(v) 2 sin π ( a-. 5)-2 a-2 ft/s; plug in numbers for (i)-(iv). 4. b)(i)-1 V/s, (ii)-1 V/s, (iii) 1 V/s, (iv) 1 V/s, (v) depends on whether a is positive or negative. Work the problem twice. 2...
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hw8-26 - s(with units on each of the intervals i[0 1 ii 5 1...

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