For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example, log ( x + y ) ≠ log x + log y because log ( 2 + 8 ) ≠ log 2 + log 8 (the left side is 1 and the right side is approximately 1.204). 93. log 4 ( 1 p ) = − log 4 p
For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example, log ( x + y ) ≠ log x + log y because log ( 2 + 8 ) ≠ log 2 + log 8 (the left side is 1 and the right side is approximately 1.204). 93. log 4 ( 1 p ) = − log 4 p
Solution Summary: The author explains the Sum rule of logarithm, which states that when the numbers with the same base are being subtracted, then they can be divided.
For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example,
log
(
x
+
y
)
≠
log
x
+
log
y
because
log
(
2
+
8
)
≠
log
2
+
log
8
(the left side is 1 and the right side is approximately 1.204).
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
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f
Use Pascal's triangle to expand the binomial
(6m+2)^2
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A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
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