(1) Suppose that for each manuscript Charles Dickens produced, he was paid where L is the total length of the novel (in words), and f is a function depending on w, the number of words, which represents the pay rate, given by f(w) = 1 W + 2 2000' L df" f(w) dw, 0≤w≤ 2000 2-w/1000 3 2 How much was Dickens paid for one 20,000-word novel? Show all your work. w > 2000.
(1) Suppose that for each manuscript Charles Dickens produced, he was paid where L is the total length of the novel (in words), and f is a function depending on w, the number of words, which represents the pay rate, given by f(w) = 1 W + 2 2000' L df" f(w) dw, 0≤w≤ 2000 2-w/1000 3 2 How much was Dickens paid for one 20,000-word novel? Show all your work. w > 2000.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do number one
Transcribed Image Text:(1) Suppose that for each manuscript Charles Dickens produced, he was paid f(w) du,
where Lis the total length of the novel (in words), and f is a function depending
on w, the number of words, which represents the pay rate, given by
/0
0≤w≤ 2000
f(w) =
1
3
2
+
2-w/1000
W
2000'
How much was Dickens paid for one 20,000-word novel? Show all
your
-1/2
(2) Find the exact value of the following definite integral.
sin (Tx)
C
cos (TX) +3
√cos
X
w > 2000.
-1
Show all your work.
(3) Let G(x) = f(t) dt, where f is a continuous function. Some of the values of G
and its derivatives are given in the table below.
dx
I
3
G(x) G'(x) G"(x)
-2
-3
1
4
1.5
work.
not enough infor-
E
R
Ne
on
you
Res
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