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|iteration |           a |     (a+b)/2 |           b |        f(a) |        f(b) |  f((a+b)/2) |
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|       1: |  3.00000000 |  3.25000000 |  3.50000000 |  0.14112001 | -0.10819513 | -0.35078323 |
|       2: |  3.00000000 |  3.12500000 |  3.25000000 |  0.14112001 |  0.01659189 | -0.10819513 |
|       3: |  3.12500000 |  3.18750000 |  3.25000000 |  0.01659189 | -0.04589122 | -0.10819513 |
|       4: |  3.12500000 |  3.15625000 |  3.18750000 |  0.01659189 | -0.01465682 | -0.04589122 |
|       5: |  3.12500000 |  3.14062500 |  3.15625000 |  0.01659189 |  0.00096765 | -0.01465682 |
|       6: |  3.14062500 |  3.14843750 |  3.15625000 |  0.00096765 | -0.00684479 | -0.01465682 |
|       7: |  3.14062500 |  3.14453125 |  3.14843750 |  0.00096765 | -0.00293859 | -0.00684479 |
|       8: |  3.14062500 |  3.14257812 |  3.14453125 |  0.00096765 | -0.00098547 | -0.00293859 |
|       9: |  3.14062500 |  3.14160156 |  3.14257812 |  0.00096765 | -0.00000891 | -0.00098547 |
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zero of sin(x) found at   3.14160156 in 9 iterations (tolerance is 0.001000, exact value is   3.14159265)


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|iteration |           a |     (a+b)/2 |           b |        f(a) |        f(b) |  f((a+b)/2) |
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|       1: |  2.00000000 |  2.50000000 |  3.00000000 | -3.00000000 |  4.62500000 | 16.00000000 |
|       2: |  2.00000000 |  2.25000000 |  2.50000000 | -3.00000000 |  0.39062500 |  4.62500000 |
|       3: |  2.00000000 |  2.12500000 |  2.25000000 | -3.00000000 | -1.40429688 |  0.39062500 |
|       4: |  2.12500000 |  2.18750000 |  2.25000000 | -1.40429688 | -0.53247070 |  0.39062500 |
|       5: |  2.18750000 |  2.21875000 |  2.25000000 | -0.53247070 | -0.07742310 |  0.39062500 |
|       6: |  2.21875000 |  2.23437500 |  2.25000000 | -0.07742310 |  0.15496445 |  0.39062500 |
|       7: |  2.21875000 |  2.22656250 |  2.23437500 | -0.07742310 |  0.03836298 |  0.15496445 |
|       8: |  2.21875000 |  2.22265625 |  2.22656250 | -0.07742310 | -0.01963180 |  0.03836298 |
|       9: |  2.22265625 |  2.22460938 |  2.22656250 | -0.01963180 |  0.00934013 |  0.03836298 |
|      10: |  2.22265625 |  2.22363281 |  2.22460938 | -0.01963180 | -0.00515220 |  0.00934013 |
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zero of x^3-11 found at   2.22363281 in 10 iterations (tolerance is 0.001000, exact value is   2.22398009)