Simplify. -3(u + 3) + 4(4u + 2)
2 answers:
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Remark
When you take the limit of
the odd result you get is 1. Later on you will be able to use calculus to show this. For now just take limits of sin(x)/x and make sure you are feeding radians into your calculator.
Now the only question is what is this thing doing?
If a is a constant in
then the result = a.
So that's basically all you need to know to solve your problem.
Series
Each term in the series will be
a*(sin(ax)/x) = a * [sin(ax)/x] * 1 = a * a = a^2
The series will look like this.
1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 There is a way of summing this using n notation, but you could just as easily just add the results.
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The formula for this series (if you want a sum) is n*(n+1)*(2n+1) / 6
</span>n = 10
Sum = 10*(11)(21)/6
Sum = 385
Does adding it by hand bring up 385?
When you take the limit of
Now the only question is what is this thing doing?
If a is a constant in
So that's basically all you need to know to solve your problem.
Series
Each term in the series will be
a*(sin(ax)/x) = a * [sin(ax)/x] * 1 = a * a = a^2
The series will look like this.
1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 There is a way of summing this using n notation, but you could just as easily just add the results.
<span>
The formula for this series (if you want a sum) is n*(n+1)*(2n+1) / 6
</span>n = 10
Sum = 10*(11)(21)/6
Sum = 385
Does adding it by hand bring up 385?
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Answer:
Step-by-step explanation:
The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.
