In Problems 39–42, write each expression in the form ax p + bx q or ax p + bx q + cx r , where a, b, and c are real numbers and p, q, and r are integers. For example, 2 x 4 − 3 x 2 + 1 2 x 3 = 2 x 4 2 x 3 − 3 x 2 2 x 3 + 1 2 x 3 = x − 3 2 x − 1 + 1 2 x − 3 41. 5 x 4 − 3 x 2 + 8 2 x 2
In Problems 39–42, write each expression in the form ax p + bx q or ax p + bx q + cx r , where a, b, and c are real numbers and p, q, and r are integers. For example, 2 x 4 − 3 x 2 + 1 2 x 3 = 2 x 4 2 x 3 − 3 x 2 2 x 3 + 1 2 x 3 = x − 3 2 x − 1 + 1 2 x − 3 41. 5 x 4 − 3 x 2 + 8 2 x 2
Solution Summary: The author explains the expression 5x432+8 2, where a, b, and c are real numbers.
In Problems 39–42, write each expression in the form axp + bxq or axp + bxq + cxr, where a, b, and c are real numbers and p, q, and r are integers. For example,
2
x
4
−
3
x
2
+
1
2
x
3
=
2
x
4
2
x
3
−
3
x
2
2
x
3
+
1
2
x
3
=
x
−
3
2
x
−
1
+
1
2
x
−
3
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 A.5 Solutions
Calculus for Business Economics Life Sciences and Social Sciences Plus NEW
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