Some Review Problems Exam 2
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-
Find y' at x = 1/2, for y = f(sin-1(x)),
where f(x) is a function such that
f '(Pi/6) = 7.
- Find the exact value of:
tan(sin-1(1/3))
- Simplify:
sin(sec-1(x))
- Evaluate:
- Evaluate using integration by parts:
- Evaluate using completing the square:
- Evaluate using partial fractions:
- Determine whether the following improper
integrals converge or diverge; justify your answers:
- Use a comparison to determine whether the following improper
integral converges or diverges; completely justify your answer:
- Use a comparison to determine whether the following improper
integral converges or diverges; completely justify your answer:
  
(x2 + x)/(x3 + 2) dx
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