8.Find the solid region Q where the triple integral (1 - x2 - y2 - z2) dV is a maximum. What is the exact maximum value?

5. The tangent line to the curve y = x3 at the point A(1,1) intersects the curve at another point B. Let R be the area of the region bounded by the curve and the tangent line. The tangent line at B intersects the curve at another point C. Let S be the area of the region bounded by the curve and the second tangent line. Find the values of R and S.