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test1samplesols

# test1samplesols - 1 Suppose 19 is an angle in the ﬁrst...

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Unformatted text preview: 1. Suppose 19 is an angle in the ﬁrst quadrant and tam? = in Find (3 pts each): i 3. a. 811119 2 5* b. 00319 = 3 c. sec19 = g / ‘/ 2. Evaluate the following limits. If the limit is 00 or —00, say so. (5 pts each): 1, x2—3x+2+(m—1)cos(m—-1)= lim [k~() ¥~L+Cosb<4> aiml-El (II—1 X”)( i (K__\ ': Hf” x..2—+ CCSCX‘O ‘1: 7C“ , 3a:2 '2 . b'11}i§I+EE/€L_§: 0+ ,5 “14% km—ﬁiw‘3 ll 1. 31:2 c. x2 —- a: -—- 2 z2—1 x<0 3. Where is g(m) = 0033: — 2 0 s w < 7r discontinuous? Justify your answer. 3 + sinw :v 2 7r “864 +0 Check X:0/ 77 “m (“I " -.. 2 0 «mfg ME 7k): ~l, 7m, ( M s - a-FO {—7 7r” ' l; _ - _ I'm 9(X):~3/ x37.” 3 4. There are two points on the curve y = x2 where the tangent line passes through (2, 3). Find both. (16 pts). “ecf 7‘ €0me m5 {‘9}, (c) 5- suppose 11H?) f(x) = 1, 1in(1)g(x) = O, lini f(x) = 2 and 1irgg(a:) = 3. Find (3‘ points each): mgomc) = 3 7‘6 *- 1 Q5? 707’3 com: 2 -- —- .— 6_ Find Hme \$—*1 x — 1 . (12 pts). 1 7. According to the deﬁnition of the derivative, if f(:1:) = as a limit. Write out this limit expression (3 pts) and evaluate (9 pts). 7C ‘ (x) a 51:: __ 'im )<~( ~4wa " W0 t (wh~l\(x~() \.IWw -6 N '” two h(><+k~()(2<~l) \ 8. Find 1111(1) xcos Justify carefully. (12 pts). —-/x/ i) then f’ (as) can be expressed ...
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test1samplesols - 1 Suppose 19 is an angle in the ﬁrst...

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