Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term
1st Edition
ISBN: 9781305779037
Author: James Stewart, Troy Day
Publisher: Cengage Learning
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Chapter 4.2, Problem 55E
To determine
To sketch : The graph of m as a function of v , where the mass of the particle moving with velocity
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Provethat
a) prove that for any irrational numbers there exists?
asequence of rational numbers Xn converg to S.
b) let S: RR be a sunctions-t.
f(x)=(x-1) arc tan (x), xe Q
3(x-1)
1+x²
x&Q
Show that lim f(x)= 0
14x
C) For any set A define the set -A=y
Q2: Find the interval and radius of convergence for the following series:
Σ
n=1
(-1)η-1
xn
n
8. Evaluate arctan x dx
a) xartanx
2
2
In(1 + x²) + C b) xartanx + 1½-3ln(1 + x²) + C c) xartanx + In(1 + x²) + C d)
(arctanx)²
+ C
2
9) Evaluate Inx³ dx
3
a) +C b) ln x² + C c)¾½ (lnx)² d) 3x(lnx − 1) + C
-
x
10) Determine which integral is obtained when the substitution x =
So¹² √1 - x²dx
sine is made in the integral
πT
π
π
a) √ sin cos e de b) √ cos² de c) c
Ꮎ Ꮎ
cos² 0 de c)
cos e de d) for cos² e de
πT
11. Evaluate tan³xdx
1
a) b) c) [1 - In 2]
2
2
c) [1 − In2] d)½½[1+ In 2]
Chapter 4 Solutions
Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term
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