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NAME: ‘ce + : Math 106 - Quiz 2 - September 18, 2006 Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not. 2 . (10 pts.) Consider the integral I = sf ev? dz. Using a Riemann sum with right endpoints, how many 0 rectangles would we need to guarantee accuracy to within 0.001 of the actual value of J? jee) a ee a 2K 2 [piietclt Bao a Ray EGAN Bo), Spry ce ep eee cee (Co raglivcothy; , oe gee ted | Font < 1, Swe Chusse Witt. (Achia of Wt 8 ole works auc ges a boete bie?) : oe Lic Fo bee ten 0.00! a \E7 Ral < (Lae) , andl we need thai less a ~ > ve WOZtSN eo cei! Ss a € .0b\ Ss Zovo ow. Ze Trus , with Az Deo] sakewels, we love the elesimed aecureny . 2, (10 pts.) Consider the initial value problem y’ = y — 2,y{0) = 1. (a) By hand, use Euler's method with 2 steps of size 1 to estimate y(2). {b) Is y(t) = 2—e' a solution to this initial value problem? Explain. a\ hte4 be=O Yel sys Yy-2 et 2e-1s slepeok (09. Ays stepe- BE= —i-U = =I = 4 = -| 20. ae 24,4 bes OFN =A a y= ted. Sgeaerse yee? Sb 2 ere Dy = slope Agee Hee Sens eee Gees Seert ae | | bee b fae eee eS [Sa yee ae pe ey ie + \) TE ytey= gz-eb, Abe. yes Blac gel o dis qq. Mie ye eee le ascluhm t The IVP. 
