The function f ( x ) = 1.1 x 3 − 35 x 2 + 264 x + 557 models the number of discharges, f(x), under "don't ask, don't tell” x years after 1994. Use this model and its graph, shown below, to solve Exercises 29-30. a. Find the slope of the secant line, rounded to the nearest whole number, from x 1 = 0 to x 2 = 4 . b. Does the slope from part (a) understimate or overestimate the average yearly increase that you determined in exercise 27? By how much?
The function f ( x ) = 1.1 x 3 − 35 x 2 + 264 x + 557 models the number of discharges, f(x), under "don't ask, don't tell” x years after 1994. Use this model and its graph, shown below, to solve Exercises 29-30. a. Find the slope of the secant line, rounded to the nearest whole number, from x 1 = 0 to x 2 = 4 . b. Does the slope from part (a) understimate or overestimate the average yearly increase that you determined in exercise 27? By how much?
Solution Summary: The author calculates the slope of the secant line, rounded to nearest whole number, for the provided model graph for f(x)=1.
The function
f
(
x
)
=
1.1
x
3
−
35
x
2
+
264
x
+
557
models the number of discharges, f(x), under "don't ask, don't tell” x years after 1994. Use this model and its graph, shown below, to solve Exercises 29-30.
a. Find the slope of the secant line, rounded to the nearest whole number, from
x
1
=
0
to
x
2
=
4
.
b. Does the slope from part (a) understimate or overestimate the average yearly increase that you determined in exercise 27? By how much?
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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