MATH 205 Quiz: MATH 205 Louisville Quiz 9 150410 Solution
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Quiz #9 solutions: (6 points) find the general antiderivative of the function f (t) = et. We may rewrite the middle two termsas power functions as such: f (t) = et. Antidi erentiating term-by-term, we get a result of f (t) = et + 3t 1 + t4/3. 1 t2 : (5 points) find a function f (x) such that f (x) = 5x3 + x 4 and f (2) = 9. Using antiderivatives, we know that f (x) must have the form 5. 2 4x + c; the speci c function matching the given condition has a speci c value of c. to gure out what it is, we can plug in 2 to get that. 2 4cdot2 + c = 14 + c so that c = 9 14 = 5, and in consequence f (x) = 5.
