Calculus Solutions 17

Calculus Solutions 17 - A-16 Answers to Odd-Numbered...

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A-16 Answers to Odd-Numbered Problems Section 9.2 Polar Equations and Graphs (page 355) 1Line y = 1 3 Circle x2 + y2 = 25 5 Ellipse 3x2 + 4y2 = 1 - 22 7 x, y, r symmetries 9 x symmetry only 11No symmetry 13 x, y, r symmetries! 15 x2 + = 6y + 82 -t (x - 4)2 + (y - 3)2 = 52, center (4'3) 17 (2,0), (0,O) lgr=l-& 2 B=s". 4 ,r = I+ +,8 = ".(o,o) 21 r = 2,~ f~ 12' f~ 12' 4 ' = 5- 12 Section 9.3 Slope, Length, and Area for Polar Curves (page 359) 1Area 3 Area 9 5 Area 7 Area - a 9 $:I3 7r/3 (2 2 Cos2 6 - = 11Area 87r 13 Only allow r2 > 0, then 4 j;l4 i cos - 28 d6 = 1 15 2 + q 17 8=O; left points r= +,8= fF,x= -I 4,Y = f 9 19 $]i4 = 40,000; $ [rJFTF + c2 ln(r + J777)1:4 = 40,000.001 21tan$=tan8 23x=O,y=1isonlimaconbutnotcircle 25iln(27r+J=)+7rd1+4?rZ r 27 ?f 29 & (base) (height) FJ i(r~8) 31 ?& 33 2s(2 - &) 35 !f 39 sec Section 9.4 Complex Numbers (page 364) 1Sum = 4, product = 5 5 Angles F, , 7 Real axis; imaginary axis; + axis x 2 0; unit circle gcd=5+10i , c = u ,, 112 cos 8,l; - 1,l 13 sum
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This document was uploaded on 11/02/2011 for the course MAC 2311 at University of Florida.

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