MATH101_131_13_E2 - Math 101 Exam II Term 131 1 I f f(x then lim-~ h-tO h = X2 b 2x eX c 2xh eX d 2X2 x e e X(x 2 2 I f y = 2_1 a t hen 1 2JX(2 JX)2 b

# MATH101_131_13_E2 - Math 101 Exam II Term 131 1 I f f(x...

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,then lim '--'---'-~'::'-:'" h t~)c) 1.. ~ :::c I MASTER· Math 101, Exam II, Term 131 Page 1 of 10 2 1. If f (x) = X h-tO -= 'X. e + e . 2.)<;, ._ e. 'X ( 'X.. 7... 1"" 2... ::::t .. ) a) eX (x 2 + 2x) b) 2x eX c) 2xh eX d) 2X2 - x e) eX(x+ 2) 2. If y = 2 _1 , then ~~ a) 1 b) 1 (2 -JX)2 c) -JX-x-(2---JX-x-) d) JX(2 JX)2 e) 1 2(2 -JX)2 2JX(2 - JX)2 -2 -1
Math 101, Exam II, Term 131 Page 2 of 10 I MASTER i 3. The equation of the tangent line to the curve y = 2tan (1T4X) at x 1 is "" '.?C = f ' 1 j = 2 ~Y1 Cr) ::: d' ~ ":; 2. / ( \, 2.) I f"\ t::~ ~ .l.. (li"X) 11. OJ ::: o(~L 4 . 4 a) y = 1TX + 2 - 1T b) y = 31TX + 2 - 31T S I~ ~~' I = ~ J]ei"C~;) 7t f x-=-/ "' - 1T c) y=x+- 4 f::6 -11h~' \'(\e '\S 1T 1T d) y = 4;x +2 - 4; j _2 '" 7f (:><-1) e) y=-1Tx+2+1T \A '!:. 71 7- + 'Z -If _l v 4. The number of points at which the curve y = x3 3X2 +4 ha,,<; tangent lines parallel to the line 3x +y 2 is _3x. +- z- ) \$l"f< ::. - 3 # ::3')(. +j:: L. & "jl .:: '3 'x..?.. - 6::L a) One <.. . - 3 "3 'x. - G x --
Math 101, Exam II, Term 131 Page 3 of 10 5 5(:-- -'"Y)~" ('-k: ;-:"L) 5. If f(x) ( ~ ~), then l' (x) = ..J ..... J /'- . 'X. 5' .)'-1 (~+ 2 S- , := ( 5" - X. :x-l. ) e tan 6. The linearization of f(x) = - 1 (3x) atx 0 is given by .P ~,:;\ (o) c t (0) ::. e.. e.. l> I +n ~I (TxJ -\ (~) ::. e .. _ a) L(x) 1+3x b) L(x) = 3x eO ..

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