The data in the graph show the wind speed y (in mph) for Hurricane Katrina versus the barometric pressure x (in millibars, mb). (See. Example 7) a. Use the points (950, 110) and (1000, 50) to write a linear for these data. b. Interpret the meaning of the slope in the context of this problem. c. Use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 900 mb. d. The lowest barometric pressure ever recorded for an Atlantic hurricane was 882 mb for Hurricane Wilma in 2005. Would it be reasonable to use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 800 mb?
The data in the graph show the wind speed y (in mph) for Hurricane Katrina versus the barometric pressure x (in millibars, mb). (See. Example 7) a. Use the points (950, 110) and (1000, 50) to write a linear for these data. b. Interpret the meaning of the slope in the context of this problem. c. Use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 900 mb. d. The lowest barometric pressure ever recorded for an Atlantic hurricane was 882 mb for Hurricane Wilma in 2005. Would it be reasonable to use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 800 mb?
Solution Summary: The author explains how to calculate a linear model for the data given in graph by using the points (950,110) and
The data in the graph show the wind speed y (in mph) for Hurricane Katrina versus the barometric pressure x (in millibars, mb). (See. Example 7)
a. Use the points (950, 110) and (1000, 50) to write a linear for these data.
b. Interpret the meaning of the slope in the context of this problem.
c. Use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 900 mb.
d. The lowest barometric pressure ever recorded for an Atlantic hurricane was 882 mb for Hurricane Wilma in 2005. Would it be reasonable to use the model from part (a) to estimate the wind speed for a hurricane with a pressure of 800 mb?
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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