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Unformatted text preview: MATH 150 Midterm Exam #1
Dr. Sam Shen, Spring 2008 Student Name Student ID Studeni Grade I100 1. [E0 pointsl
(3) Find the composite function f o g if ﬁx) 3 x , g(x) =sinx
1+x
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7“ r f (6) lim arctariﬂ x l) xwa—m Page 2 of4 4. {10 points] If 2x 3 g(x) _<. x4 — x2 + 2 for ali x, evaiuate the following limit iim g(x). Cite an appropriate theorem. x41 cx2+2x x<1 5. {10 points} If ﬁx) 2 ,
x3 —cx x 21 find the vaiue ofc such thatﬂx) is continuous at x=1. '2 g ,m
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We 6. [15 points] Solve the equation lnx + En(x — 1) = 0 for x . _{_. fag»? w, ‘3
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.2; 2.1 Page 3 of 4 7. 110 points} Prove that the equation 4x3 — 6x2 + 3x = 2 has as least one soiution in
the interval (1, 2). Cite an appropriate theorem in the proof. ”7
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€5,155}; Jag33$ ”€3,155 8. [5 points] Find a formuia for the inverse function of the foilowing function I
X = .
f() 1+2x
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g f
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g X
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g {iiéix) « X
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 Spring '08
 Shen
 Calculus, PreCalculus

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