Here's my question :) Thanks!Let f(x) = a (7-x^2) for a ≠ 0a0 Find the equations of the lines tangent to these curves at x=-1b) find, in terms of a, the y-intercepts of the tangetn lines at x=-1c) find the x-intercepts of the tangent lines at x=-1d) Find, in terms of a, the area enclosed by the graph of f(x), the tangent line at x=-1, and the y-axis.I solved parts a, b and c and I know i have them right. I just can't get part D so i'm looking for help on that one! thank you so muchh!Update:I haven't even learned integrals yet, so i'm extremely confused. but thanks anywaays. Created by blue bird. science-mathematics-en - mathematics-en

You're looking for the area between f(x) and its tangent at x = -1, from the value x = 0 to the value where f(x) and the tangent line intersect. To solve for the area, set up an integral from 0 to the x value of the intersection, and inside the integral put whatever equation ( f(x) or the tangent line) is on top on this interval. Now, if the two graphs intersect at more than one point, set up separate integrals, following the same methodology. I know this is confusing, but man is it hard to explain calculus through a word processor.