| Darrin Visarraga |
| Problem Sources |
| ucf22-001 Evaluate the antiderivatives.
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| ucf22-003 Using differentials, give approximations for these quantities. (Show your work.)
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| ucf22-006 Let \( a \) and \( b \) be positive constants. Prove that if \( x \) is positive then \[ a^{3}x^{2} + b^{3}/x \geq (2^{1/3} + 2^{-2/3}) ab^{2 } \] |