Question
Use the limit process to find the area of the region between the graph of the function and the y-axis over the given y-interval.
f(y) = 7y, 0 ≤ y ≤ 2
f(y) = 7y, 0 ≤ y ≤ 2
Answers
geez, why bother? It's a triangle.
bruhhhhhh brehhhh braaaa XDDDDDD
The y-interval given says that the y-value would greater than or equal to 0 as well as less than or equal to 2. This means that you can calculate the limit, or in this case the area, by inserting 2 since it is the maximum number set by the interval and thus the limit for the area. When you multiply it you get f(x) = 14, which is your answer. As for the graph, this is how it should look like. Since the limit of the interval is 2, the y-axis of the region should be from 0 to 2. At 2, place a horizontal dashed line. The dashed line should end when it reaches the x-value equal to the area found, in your case, 14. Finally, draw a solid diagonal line that meets with the end of the horizontal line, creating a triangle. Now you've drawn the region on the graph! The end :)