# hw1-28 - Homework 1/28 1. A population of critters is...

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Homework 1/28 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. (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 ]. 2. 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 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. 3. The voltage in a circuit is given by

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## hw1-28 - Homework 1/28 1. A population of critters is...

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