Sure all answers are simplified and that all work logical
| MATH 01 | PART a | NAME: | |
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| Batchelor |
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| Chabot College | |||
| PLEASE PRINT |
| [15] (1) | Evaluate the sum: | Useful Formulas: | n / |
1 | = | n , | n / |
= | + | 1 , | n / |
2 | = | n n ^ | + | 1 | h ^ | 2 n | + | 1 | h | ||||||||||||||||||||
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| n |
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6 | ||||||||||||||||||||||||||||||||||||||
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6 ^ | k | - | 3 | - | 2 | ^ | k | - | 3 | h | - | |||||||||||||||||||||||||||||
| k | 8 | k | + |
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| Egl T. Batchelor© MATH 01 E III ALPHA | PAGE 1 of (4) | ||||||||||||||||||||||||||||||||||||||||
is a; find a.
Egl T. Batchelor© MATH 01 E III ALPHA PAGE 2 of (4)
| b) | f | Using the value of | a | from part (a) and FTC (II), evaluate the Riemann integral: | y | = | f x ( ), | ||||||||||||
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| cos | x | - | sin |
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aand | X | |||||||||||||||||
| This integral is the area of | X , | express answer as an algebraic number . | |||||||||||||||||
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x
a
Egl T. Batchelor© MATH 01 E III ALPHA PAGE 4 of (4)
