Week 5 SolutionsMath 31ALWritten by Victoria Kala, [email protected], October 29
y X I
y IX 2 leaveUnsimplified tofind thepatron
y 1712 3 C121.2 3 c122X3
y L1 2713 4 11731.23 4 C133X4
y4 L1C2 37145 1741.23.4 5 4144X S
yth 1 nn X Intl
Xy1 25 6Xy t x2y2 61
Plugin211 togettheslope
me I 2127454 y t Xly t Hayy'tx4y7 0 Tizzy 1 To I1y 1 X ly t 2xy 1 X2.2y.lyOytXy1t2Xy2t2X2yyt0 Equationofline y y MIXXi
xy't2X2yy y 292 y l x 2
Y X12kg y 292 y 1 12 1
y y2xy2_ yXt2x
a y sin3147 SMHx yl 36in141 cosI41.4b y L3 244 141 413 21173.13 4
744 31,73 Y 4341 4437 13,71417 2K73 34994,421213 1713 2 2 19711443
d fix sin type sin x 2 f'CX cos x2 2 3 121,441
Thursday, October 31
continued
e y 4 41322 11 3 y 4 31322 11 416 23221113 fzff.LICl
fix X3 6 218 FridabsoluteextremaonGibf X 32 12 0 dec in 23 114 0 egg f 3 313 12137 27360
X 4 F 5 3157212151 756070notin a6 sodonotneedblest since dec inc localminat114
Test endpointsdonlinepointsf4 436141218 649618 24 l4r24 abso1u1emfu 13445 8 1 418 5f6 63616218 636318 8
Illeislabsolutemaxy
fX Tin'd absoluteextremaonC4i8
f'CX CX45X XX4 XHqxyxgg2li X2tfgX2 X45 setnumerateddenominator1 2572 14512 o
X 15 0 1 2512 02 5 1125 0
112 5norealsolution
notinat8 sodonotneedtotestTestendpointsf 4 4 4 0.19047 absoluteMaxat 4,24T425 21f181 gats 689
0.115942 absoluteMri at 18,68g
FIX EI 3 3 6 End localextrema
f47 531 92 XY 9 2 1142 9 4X3 X137 0X O X 3 11 3
inc dec dec Mc Goingtouse 141 114 37113j f't41 1412143 43 1617711 O
fC1 C1 Cl 3 113 Il 4 2 LOf 1 121131413 Il 2 4 dof44 4214371413 1611317170
localMaxmeans Madea localmaxatx
Tflocalmin at X 4localmmmeansdec noneither at 11 0
Implicitdifferentiation at41 y4txy 2 3 7 7
4y3y'tCxytxly 62 7
4y3y'ty 1Xy 62 7
4y3y'tXy 6 2 7 yy'l4y31 1 6 2 7y
y 6 2 7y so m 6.127 I 2Fx 4731
6474 g
Tangentline y l X 1
y Ext 11ya 25 175
54 2 72Xt5
