Sketch by hand the two functions in each exercise on the sam

Sketch by hand the two functions in each exercise on the same coordinate plane and verify using Maple f(x) = sin x g(x)= sin(x/3) f(x) = sin x g(x)= cos (x - pi/2) f(x)= - sin(2 pi x) g(x) = 10cos(pi/6 x) Fuel consumption The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2 pi t/365 + 10.9) where t is the time in days, with t = 1 corresponding to January 1. What is the period of the model? Is it what you expected\'\' Explain What is the average daily fuel consumption? Which term of the model did you use? Explain. Use Maple to graph the model Use the graph to approximate the time of the year when consumption exceeds 40 gallons per day. MSIP Grant #P120A 10065 \"Three Urban Calculus Reform Programs: Adopting the Best\" 2010-2013

Solution

1. a.    f(x) = sinx

period =2pi/B=2pi

We need some points to graph it

when x=pi, y=0

when x=0,y=0

when x=pi/2, y=1

when x=-pi/2, y=-1

when x=-pi,y=0

b. g(x) =sin(x/3)

Period =2pi/B= 2pi/1/3=6pi

when x=3pi/2,y=1

when x=9pi/2,y=-1

when x=0,y=0

when x=-3pi/2,y=-1

when x=-9pi/2,y=1