Answer:
The interval of convergence is -1<x<1
Step-by-step explanation:
To find the interval of convergence of the series, we will use the condition for convergence of a series according to Ratio test.
The solution is as shown in the attachment.
Answer:
see below
Step-by-step explanation:
A graphing calculator can help you do this.
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The function crosses the y-axis where x=0.
g(0) = -5^0 +5 = -1 +5
g(0) = 4
The function crosses the x-axis where g(x) = 0
0 = -5^x +5
5^x = 5 = 5^1
x = 1
g(1) = 0
The points of interest are (0, 4) and (1, 0).
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
Answer:
6
Step-by-step explanation:
2+2^2÷4+3
PEMDAS says exponents first
2+4÷4+3
Then multiply and divide from left to right
2+1+3
Then add and subtract
6
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
