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Material Type: Exam; Class: Calculus I; Subject: Mathematics; University: Colgate University; Term: Fall 1999;
Typology: Exams
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October 18, 1999 Math 111 E and H — Exam II
Show all work clearly for partial credit. Do not use the graphing capabilities of your calculator.
x + 5 x^2 + 1
(c) y = tan^2 3 x
(d) y = x^2 − 2 x^ (e) x^3 y − 2 ey^ = 5 (in terms of x and y) (f) y = (x^2 + 2)x
ln x, what is y′? (b) Find the equation of the tangent line to y = ln x at x = e^4.
Some possibly useful equations:
y − y 0 = m(x − x 0 ) A = πr^2 V = e^3
A = 6e^2 A =
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