Weiss_Chapter_3_Test_Fall_2005

# Weiss_Chapter_3_Test_Fall_2005 - Exam 3 Calculus I Chapter...

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Unformatted text preview: Exam 3 Calculus I Chapter 3 Name_S_~ W_c. _ 1.) Calculate y' using the differentiation methods learned in this chapter. a.) y=(2x3_x2+8)4 b.) y=sin-J(eX) 4(lt..~- Y-- "l.}ij0./'-~~) v'::- LSC(e1l.) ~oJ.v c- - - ----------lfi'/. 1.--i) Y /::: ~ I.. (se( ~~ / yl~ ~ (1...~3.--J. "l-;'f) (3-t l_i)\ ..-'~ \.,-------_.- C r S;r, > {u~ (05) >- \$,'h )~~ ~ 5(,,' (sc:;--(S( Stc- >« :;- >,c. (",i- rt)~ = _ (>(l e.) y = In(cosh3x) .3 In (S~\.-1Y-) /~ f ) sin x . y=x S.'" t. (05\ •..•. ....:> 2.) Consider the equation x2 + xy + y2 = 1, graphed below. x a.) Use implicit differentiation to find an expression for dy in terms of x and y. 1. 2.. dx i. .J---/...y 1-- Y ">, ~ ~ 4- 'A.~ +! ~ 2.y~ =: J~~E' J iy~ t 2/'5{ :::._- 1.~- Y :;:~ /' \ ~(-I--Yl-l.;) ~~_-L b.) Find all the points where the tangent line is horizontal. (r;s,-1·0/ .., (-·~>II.I)-'1..-1.-y.:o-l--J--:::l c.,----7 3.) Let f(x)=sin(x+J[)+cos2x....
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Weiss_Chapter_3_Test_Fall_2005 - Exam 3 Calculus I Chapter...

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