- In the graph below, C is the piece of the curve lying in the first quadrant. S is the region
bounded by the curve C and the coordinate axes.
(a) Graph in [0,3] × [0,5]. Since you want dy/dx, the slope of the tangent, where y =
1, use the calculator to solve(storing the answer at B). Then evaluate the slope of the tangent to C at y = 1:
f ′(B) ≈ −21.182.
(b) Since ΔA = yΔx, A =
(c) When S is rotated about the x-axis, its volume can be obtained using disks: