1617-257/Homework Assignment 8 Solutions

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Doing

Solve all the problems in sections 13-14, but submit only your solutions of problem 4 in section 14 and problems 4 and 8 in section 15. In addition, solve and submit your solution of the following problems:

Problem A. Compute the volume of the "2D ice cream cone", $C=\left\{(x,y)\colon |x|\leq y\leq 1+{\sqrt {1-x^{2}}}\right\}$.

Problem B. Compute the volume of the "n-dimensional simplex" $\Delta _{n}=\left\{(t_{1},\ldots ,t_{n})\colon 0\leq t_{1}\leq t_{2}\leq \ldots \leq t_{n}\leq 1\right\}$.

HW8 pdf