Describe in words the strings in each of these regular sets. a) 1 * 0 b) 1 * 00 c) 111 ∪ 001 d) ( 1 ∪ 00 ) * e) ( 00 * 1 ) * f) ( 0 ∪ 1 ) ( 0 ∪ 1 ) * 00
Describe in words the strings in each of these regular sets. a) 1 * 0 b) 1 * 00 c) 111 ∪ 001 d) ( 1 ∪ 00 ) * e) ( 00 * 1 ) * f) ( 0 ∪ 1 ) ( 0 ∪ 1 ) * 00
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
f(x) = (x + 4x4) 5,
a = -1
lim f(x)
X--1
=
lim
x+4x
X--1
lim
X-1
4
x+4x
5
))"
5
))
by the power law
by the sum law
lim (x) + lim
X--1
4
4x
X-1
-(0,00+(
Find f(-1).
f(-1)=243
lim (x) +
-1 +4
35
4 ([
)
lim (x4)
5
x-1
Thus, by the definition of continuity, f is continuous at a = -1.
by the multiple constant law
by the direct substitution property
4 Use Cramer's rule to solve for x and t in the Lorentz-Einstein equations of special relativity:x^(')=\gamma (x-vt)t^(')=\gamma (t-v(x)/(c^(2)))where \gamma ^(2)(1-(v^(2))/(c^(2)))=1.
Pls help on both
Chapter 13 Solutions
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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