Which shows the location of the point (2,-5) after being reflected across the y-axis?
1 answer:
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It should be the second choice
f(x)=20(3/5)^x
f(x)=20(3/5)^x
Answer:
Step-by-step explanation:
We want to find the volume of the solid obtained by rotating the region between the two curves:
About the line <em>x</em> = 16.
Since our axis of revolution is vertical, we can use the washer method in terms of <em>y</em>.
Where R(y) is the outer radius and r(y) is the inner radius.
First, solve each equation in terms of <em>y: </em>
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From the diagram below, we can see that the outer radius R(y) is (10 - <em>x</em>₁) and that the inner radius r(y) is (10 - <em>x</em>₂). The limits of integration will be from <em>y</em> = 0 to <em>y</em> = 16. Substitute:
Thus, our volume is:
*I labeled the diagram incorrectly. Let R(x) be R(y) and r(x) be r(y).
