More random practice problems. If you hesitate on the answer, strongly consider reviewing the relevant material.
What is $\ln{x\cdot y}$ equal to?
What is $e^{a+b}$ equal to?
What method should we use to solve the equation $y^\prime+2x y= 3x^2$?
What method should we use to solve the equation $y^\prime=2xy$?
I don't know if either of the previous two questions are easy to solve or not, but try them and see.
What is $\sin (\pi/4)$?
Give two identities for $\cos^2(\theta)$.
Give an identity for $\sin(\theta)\cos(\theta)$.
Give an identity for $\sin^2(\theta)+\cos^2 (\theta)$.
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