MA/CS/EGR 537: Assignment 8 Answers/Grading

p. 355, 1(b)

• T(f) = 1.3798
• S(f) = 0.9583
• S_3/8(f) = 0.9869
• B(f) = 1.0088

p. 355-6, 2(b)

• T₄(f) = 1.0201
• S₄(f) = 1.0056
• B(f) = 1.0088

p. 380, 1(b)

J	R(J,0)	R(J,1)	R(J,2)	R(J,3)
0	-0.00199505498451
1	-0.02186448736867	-0.02848763149673
2	0.01611755515567	0.02877823599711	0.03259596049670
3	0.15265723944290	0.19817046753864	0.20946328297475	0.21227070079186
4	0.18800285389663	0.19978472538121	0.19989234257071	0.19974042288176
5	0.19679143050261	0.19972095603793	0.19971670474838	0.19971391684644
6	0.19898420601846	0.19971513119042	0.19971474286725	0.19971471172628
7	0.19953210732381	0.19971474109226	0.19971471508572	0.19971471464474
8	0.19966906406672	0.19971471631435	0.19971471466249	0.19971471465577

-5 close in a section
-10 not close enough in a section
-15 missing a section

p. 390, 1(b)

• adaptive quadrature value = 0.19971391
• error = 3.23855x10^-6

-5 close
-10 not close enough
-15 missing

Cheers,
Craig C. Douglas