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The final exam questions for a calculus course (mat 250) from fall '04. The exam covers topics such as differentiation, integration, limits, and optimization. Students are required to show their work and use appropriate methods like l'hospital's rule and substitution.
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Fall ’04/MAT 250/Final Exam Name: Show all your work.
Differentiate and simplify where appropriate:
d dx
x + 3 x^2 − 4
d dx
ln(sin x) =
a) lim x→ 4
x^2 − 2 x − 8 x − 4
lim x→ 0
ex^ − 1 − x x^2
a b