The graph shows the number of students enrolled in public colleges for selected years. The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y -intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
The graph shows the number of students enrolled in public colleges for selected years. The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y -intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
Solution Summary: The author calculates a linear model for the data in the graph shown below that shows the number of students enrolled in public colleges for selected years.
The graph shows the number of students enrolled in public colleges for selected years. The
x
variable represents the number of years since 1990 and the
y
variable represents the number of students (in millions).
a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data.
b. Interpret the meaning of the slope in the context of this problem.
c. Interpret the meaning of the
y
-intercept
in the context of this problem.
d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
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
-16024
ძx2 •
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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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY