Fuel Consumption The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin ( 2 π t 365 + 10.9 ) Where t is the time (in days), with t = 1 corresponding to January 1. (c) Use a graphing utility to graph the model. Use the graph to approximate the time of the year when consumption exceeds 40 gallons per day.
Fuel Consumption The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin ( 2 π t 365 + 10.9 ) Where t is the time (in days), with t = 1 corresponding to January 1. (c) Use a graphing utility to graph the model. Use the graph to approximate the time of the year when consumption exceeds 40 gallons per day.
Solution Summary: The author explains how the graph is constructed and the consumption exceeds 40 gallons at 125th day of the year.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
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t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY