Problem 4. The bell-shaped curve y = f(x) below satisfies dx = -xy. R y= f(x) a (a) Use cylindrical shells and the substitution u = R about the y-axis has the volume V = 27(1 – c), where c = f(a). Do not attempt to find an explicit function f(r) = y. f(x) to show that the solid obtained by rotating the region (b) Given that the function f(x) asymptotically approaches 0 as x → ∞, find the limiting volume as a → o.

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