What rotation is shown below?
2 answers:
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Answer:
The expression does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.
Since 1.12 is greater than 1.016, therefore, the expression does not represent a percent increase greater than 12%.
We can rewrite as:
Let us convert to percent by multiplying by 100.
Since 1.6% is less than 12%, therefore, the expression does not represent a percent increase greater than 12%.
Check the picture below.
so by graphing those two, we get that little section in gray as you see there, now, x = 6 is a vertical line, so we'll have to put the equations in y-terms and this is a washer, so we'll use the washer method.
the way I get the radii is by using the "area under the curve" way, namely, I use it to get R² once and again to get r² and using each time the axis of rotation as one of my functions, in this case the axis of rotation will be f(x), and to get R² will use the "farthest from the axis of rotation" radius, and for r² the "closest to the axis of rotation".
now, both lines if do an equation on where they meet or where one equals the other, we'd get the values for y = 0 and y = 1, not surprisingly in the picture.
