these are last 3*Chapter 5, Section 5.5, Question 007
Use the given values of a and b to express the following limit as an integral. (Do not evaluate the integral.)
tim Ž8** (1 – 6x!Arki a = -2; 6 = 3
max Ax: +0=1
0
(1 – 48x dx
-2
Jante —
ja
Janda
jistrik
-2
8x(1 – 6x)dx
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Inc. or related companies. All rights reserved.
*Chapter 5, Section 5.5, Question 009b
Use the definition of a definite integral to express the integral as the limit of a Riemann sum. (Do not evaluate the integral.)
Sea
-dx
4x + 3
dx =
4x + 3
lim
-Ata = 0, b = 2
max Ax: +0=1 4x + 3
6
ਤ
4x + 3
lim
-; a = 0, b = 2
max Axx+0=1 4x + 3
-dx =
4x + 3
X
lim
-Axa = 0, b = 2
max Ax: +0=1 4x + 3
X
dx =
4x + 3
lim
-Axic a = 0, b = 2
max Ax: +02=0 4x + 3
dx =
4x + 3
_*
lim
-Ax} a = 0, b = 2
max Ax: +0= 4x + 3
Copyright 2000-2016 by John Wiley & Sons, Inc. or related companies. All rights reserved.
Given
f(r) -x+ 1; w = 8, b = 4; x = 3,
;2 = raܠ ,1 = raܠ ,1 = riܠ
*
܂ 3 = * ;= ;1 – iܐ
=
1
4′
=
2′
3 =3
find the value of
r
kܫܬܐ ;:)a) )f)
1
(b) max Ar;
Write your answers in the form of fractions, if necessary.
(a)
– rܫܡ( )?]J
k = 1
[ [
– ;ܫܠb) nmax)
Answer *1: exact number, no tolerance
*1: ,
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