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Math 2nd week

by: Shayla Pedigo

Math 2nd week Math 15800

Shayla Pedigo

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David Norris
Class Notes
Math, Math 158
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This 3 page Class Notes was uploaded by Shayla Pedigo on Tuesday February 9, 2016. The Class Notes belongs to Math 15800 at Purdue University taught by David Norris in Spring 2016. Since its upload, it has received 22 views. For similar materials see Math in Mathmatics at Purdue University.

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Date Created: 02/09/16
Math 15800 Notes Week 2 APPLICATION OF FUNCTIONS Example 1.) A ball is dropped and its height t seconds after dropping is modeled by t f(t) = - +11 a.) Find Domain: [0,∞) >>Because t means time after ball was dropped, t can’t be negative! b.) What is the height of the ball 1 second after dropping? 12 f(1) = - +11 =-1+11 =10 height c.) When is the ball at height 2? 2 f(t) = 2 - t +11 = 2 2 11=2+ t 2 0= t -9 t can’t 0=(t+3) 0=(t-3) be negativ t = -3 t = 3 e Example 2.) I construct an open box by taking a 5x10 square and cutting 4 x by x square from the corners. Write the volume of the box in terms of x. V = (l)(w)(h) x x x x 10 ft V = (5-x-x) (10-x-x) (x) V = (5-2x) (10-2x) (x) x x x x 5 ft Example 3.) A farmer fences in a rectangular area of area 2 100 t with 5 foot gates as shown: 1.) Write l in terms of w A = (l) (w) 100 = (l) (w) w w 100 = l w 2.) How much fencing is used? = l + l + (w-g) + (w-g) + (w-g) (write as function of w) = 2l + 3(w-g) = 2l+3(w-5) Replace l with 100 from # 1. = 2(100) + 3(w-5) Put 5 in because 5ft = gates w 2w 3.) If the fencing is $10 a foot, what is the total cost of fencing? = (10) [ 2 (100) + 3(w-5)] w SIMPLIFYING ALGEBRAIC EXPRESSIONS Example 1.) 3 – 1 1. Simplify Numerator 5 10 2 3 - 1 1 + 1 = 2 5 10 2 3 1 + 1 2 3 = 6 - 1 10 10 1 + 1 2 3 5 = 10 1 + 1 2 3 2. Simplify Denominator 5 = 10 3 1 + 1 1 3 2 3 3 5 = 10 3 + 2 6 6 5 = 10 2 6 3. Multiply by reciprocal 5 x 6 = 6 = 3 10 5 10 5


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