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The midterm 2 exam for math 154 - calculus i at simon fraser university, instructed by d. Kent. The exam covers topics such as finding 'y' for given functions, differentiable functions, equations of tangent lines, spherical balloon radius, implicit functions, and radioactive material decay. Students are required to show all work and follow instructions carefully.
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November 9, 2005
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1. Do not open this booklet until instructed to do so. The booklet contains 8 pages including the cover page.
a) [3 marks] (^3 2 )
2
y x โ +
=
b) [4 marks] y = ( 1 โ x^2 + 23 โ x )^2
c) [4 marks] y = (1 โ x )(2 + tan 3 ) x e 2 โ x
k (cm^3 / s ). At what rate is the radius of the balloon increasing when it is L (cm ) long.
2 2
d of a function that is defined
implicitly by the equation