Question

Can someone help with this question:

Answer 1

I'd strongly suggest sketching this region. Doing so could make it obvious what the limits of integration are.

Finding the zeros of y=-x^2 + 14x - 45 will aid in sketching the graph of this parabola, as we will then know where the graph crosses the x-axis.

Once you have a sketch in front of you, ask yourself: "Should I use disks? washers? shells?"

I'll be glad to continue working with you after you've responded.

Answer 2

zeros are -31 and 0. I think it is best to use disks