The table gives the average gestation period for selected animals and their corresponding average longevity. a. Graph the data in a scatter plot using the number of days for gestation as the independent variable x and the longevity as the dependent variable y . b. Use the data points (44, 8.5) and (620, 35) to write a linear function that defines longevity L x as a linear function of the length of the gestation period x . Round the slope to 3 decimal places and the y -intercept to 2 decimal places. c. Interpret the meaning of the slope in the context of this problem. d. Use the model from part (b) to predict the longevity for an animal with an 80-day gestation period. Round to the nearest year.
The table gives the average gestation period for selected animals and their corresponding average longevity. a. Graph the data in a scatter plot using the number of days for gestation as the independent variable x and the longevity as the dependent variable y . b. Use the data points (44, 8.5) and (620, 35) to write a linear function that defines longevity L x as a linear function of the length of the gestation period x . Round the slope to 3 decimal places and the y -intercept to 2 decimal places. c. Interpret the meaning of the slope in the context of this problem. d. Use the model from part (b) to predict the longevity for an animal with an 80-day gestation period. Round to the nearest year.
Solution Summary: The author explains how to graph the data in a scatter plot using the number of days for gestation as the independent variable x and the longevity
The table gives the average gestation period for selected animals and their corresponding average longevity.
a. Graph the data in a scatter plot using the number of days for gestation as the independent variable
x
and the longevity as the dependent variable
y
.
b. Use the data points (44, 8.5) and (620, 35) to write a linear function that defines longevity
L
x
as a linear function of the length of the gestation period
x
. Round the slope to 3 decimal places and the
y
-intercept
to 2 decimal places.
c. Interpret the meaning of the slope in the context of this problem.
d. Use the model from part (b) to predict the longevity for an animal with an 80-day gestation period. Round to the nearest year.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
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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