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161E1-F2009

# 161E1-F2009 - MA 161 EXAM I Fall 2009 1 The interval which...

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Unformatted text preview: MA 161 EXAM I Fall 2009 1) The interval which corresponds to the values of as satisfying |3x — 2| < 5 is 2) The center and the radius of the circle represented by the equation 3:32 + 3y2 — 333 + 21; = 1 are respectively A) (1/2,—1/3) and 5/6 B) (1/2, —1/3) and 7/6 C) (1,—2) and 4/9 D) (1/2,1/3) and 5/6 E) (1/4, 1) and 5/6 3) If7r < 6 < 37r/2 and cos6 2: ——1/2 then sin6 is equal to A) «3/4 B) —\/§/2 C)1/2 D) —1/2 E) ﬁ/Z MA 161 EXAM I Fall 2009 4) The domain of the function f (:L') 2 £7222 is A) (—3,2) B) [—3,2] C) [~3,2) D) [—3,3] E) (—3,2] 5) Let f(m) 2 £62 + 1, g(x) = 2m and h(:v) = \$3. Then f o g 0 11(93) is equal to A) 23\$+1 B) (x3 + 290)2 + 1 C) 269“ + 1 D) (295)2 + 1 E) 4333 + 1 6) The graph of f(a: —— 2) + 5 can be obtained from the graph of f (m) by A) Shifting the graph of f to the left by two units and upward by 5 units B) Shifting the graph of f to along the diagonal by 5 units C) Shifting the graph of f to the right by two units and downward by 5 units D) Shifting the graph of f to the left by two units and downward by 5 units E) Shifting the graph of f to the right by two units and upward by 5 units MA 161 EXAM I Fall 2009 7) The quantity logz 3 + 2 logz 5 +10g3 9 is equal to 8) The inverse of the function f (w) : 3:1: is f‘1(m) = 758—3 5—31: 7m+3 5—311: 3m+5 7—353 3:12—7 5—33: r 7113—5 1 5—33: f . 3932 -48 . . . . . 9) Evaluate hm ——————— If It ex1sts. (If 1t does not ex1st, w—->—4 (E2 + 211: -- 8 choose the answer DNE.) A) 4 B) DNE C) —3 D) —4 E) 3 MA 161 EXAM I Fall 2009 x/t 1 — 2 10) Evaluate ling ﬁ—, if it exists. (If it does not exist, choose the answer DNE.) A) 00 B) DNE 1 C) 1 l D _ ) 5 E) 0 1 11) Let a = lim (2:2 — :13) and b = lirrr) (m2 — assin 5). Evaluate a and b. (If the limit does not exist, choose DNE.) A) a = 00’ b DNE B) a = 00, b = C) a = ~00, b DNE D) a : 0,b = 0 E) a = 0, b DNE 12) The total number of asymptotes, vertical and horizontal, for the graph of m) z ”W is: m as» O U Nor—quoo ) ) ) ) ) 1:11 MA 161 EXAM I Fall 2009 13) For the function F(a:) pictured, which of the following statements are true? 1. lim F(:z:) = (ll—)0 II. lim F(m)=0 lac—>2— III. F' is continuous at X=0 A) II and III only B) All are true C) II only D) I only E) I and II only 1 008(1) — 5 , represents the derivative of some function f (m) at some 14) The quantity, lim m—Vg 33—3 71' number a. Select an appropriate f(x) and a. ...
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161E1-F2009 - MA 161 EXAM I Fall 2009 1 The interval which...

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