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", [math]\displaystyle{ C=\left\{(x,y)\colon |x|\leq y\leq 1+\sqrt{1-x^2}\right\} }[/math].

Problem B. Compute the volume of the "n-dimensional simplex" [math]\displaystyle{ \Delta_n=\left\{(t_1,\ldots,t_n)\colon 0\leq t_1\leq t_2\leq\ldots\leq t_n\leq 1\right\} }[/math].

HW8 pdf

Student Solutions