Calculus Solutions 5

Calculus Solutions 5 - Answers to Odd-Numbered Problems A 4...

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A-4 Answers to Odd-Numbered Problems Section 3.3 Second Derivatives: Bending and Acceleration (page 110) 3 y= -l-x2; no ... 5 False 7True 9True(f1has8zeros, f"has7) 11 x=3ismin: fM(3)=2 13 x=Onotmaxormin;x=~ismin: fM(;)=81 15 x=a is max: f"(y) = -a; x = is min: ft1(?) = fi 17 Concave down for x > $ (inflection point) 19~=3ismax:f"(3)=-4;z=2,4areminbutf"=O 21f(Ax)=f(-Az) 23l+x-$ 8 25 1-$ 27 1 - ;x - Lx2 29 Error f"(x)~x 31 Error OAx + & f"'(x)(~z)~ 37 & = 1.0101~; = .909m 39 Inflection 41 18 vs. 17 43 Concave up; below Section 3.4 Graphs (page 119) 1 120; 150; 9 3 Odd; x = 0, y = x 5 Even; x = 1,x = -1, y = 0 7 Even; y = 1 9 Even 11 Even; x = l,x= = 0 13 x=O,x=-l,y=O 15 x = 1,y = 1 17 Odd 19 3 21 x+& 23 dG 25 Of the same degree 27 Have degree P < degree Q; none 29 x = 1and y = 32 + C if f is a polynomial; but f (x) = (x - 1)'13 + 32 has no asymptote x = 1 31(~-3)~ 39x=fi,x=-&y=x 41~=100sin~ 45~=3,d=lO;c=4,d=20 47 X* = JS = 2.236 49 tj = x - 2; Y = X;y = 2~ 51 xmax = -281, Zmin = 6.339; xinfl = 4.724 53 xmin = -393, xmaX = 1.53, xmin = 3.33; Zinfl = .896,2.604 55 xmin = -.7398, xmaX = .8l35; xins
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