Maple1131W7T5 - Complex numbers and Equations

Saturday, 21 April 2018

11:24 AM

Untitled picture.png Machine generated alternative text:
(a) Suppose that u = 4 — 2 i, v 
_3 + i and w 
Re(w) - 
1m (w) = 
(b) Letz = 5440 + 57672 i 
Enter a square root of z, in maple syntax, in the box below 
178+1621 
8 

Untitled picture.png Machine generated alternative text:
For z 
9 9 i and w 
6 + 8 i calculate a 10 significant figure approximation to the modulus of 
w 14+Z4 
u,9+Z8 
Enter your answer in the box below 

Untitled picture.png Machine generated alternative text:
4 
Re(w) 
Im(w) 
21 
4 
us 
-104240 
21 
937121 
-104240 
93712 
Untitled picture.png Machine generated alternative text:
sqrt( 5440 
57672 1) 
178 
1621 
Untitled picture.png Machine generated alternative text:
9 
6 
9 
81 
6 
29 
91 
81 
abs 
2392209527569205713193873846718157073785 
12875828567371012 
evalf( %) 
1.101596177 10 
(2) 
(3) 
(4)

 

 

Untitled picture.png Machine generated alternative text:
Find approximations to all 5 roots of the polynomial 
5 
-4 
and enter them in the box below Your approximations should be correct to 10 significant figures 
4 
2 
You must enter the roots as a Maple list, that is, enclosed in square brackets For example, a typical answer would be similar to: 
[-_8724241534 -.1573479856-7588819850*1; -.1573479856+7588819850*1, 7991119175; 2.388008207] 
Gl. 69504312118598-8344305970500261, -1.69504312118598+.93443( 
This question accepts formulas in Maple syntax 
Plot Help I Preview 
Untitled picture.png Machine generated alternative text:
Find the number of stationary points of the polynomial 
p(x) — 105 
Enter your answer in the box below 
5 
+ 720 x7 + 980 
6 
— 5712 
— 32760 
3 
- 82880 
— 114240 
- 80640 - 27. 
You may copy and paste the following into your Maple window: 




Untitled picture.png The graphs of 
have been plotted on the same axes below 
Find an approximation to the smallest positive solution to 
correct to 10 significant figures. 
Enter your answer in the box below. 
1 .927544622 
46 
2 
-2 
46 
25 
(89 
x 
(89 
and y 
2 
3 
59 
50 
4 
21 
50 
21 
50 
5 
59 
50 
Untitled picture.png Machine generated alternative text:
fsoive(é 2 — 3 22 — 4, z, complex) 
- — 0.9344305970500261 -1.69504312118598 
0.93443059705002610.0526091268520372 — 0.9100666109447821 
0.0526091268520372 + 0.9100666109447821 1.28486798866789 
map(evaif [ fsoive(é 2 — 3 22 — 4, z: complex) ] ) 
[ - — 0.9344305970500261 -1.69504312118598 
0.93443059705002610.0526091268520372 — 0.9100666109447821 
0.0526091268520372 + 0.9100666109447821 1.28486798866789] 
(2)
Untitled picture.png The graphs of 
have been plotted on the same axes below 
Find an approximation to the smallest positive solution to 
correct to 10 significant figures. 
Enter your answer in the box below. 
1 .927544622 
46 
2 
-2 
46 
25 
(89 
x 
(89 
and y 
2 
3 
59 
50 
4 
21 
50 
21 
50 
5 
59 
50 
Untitled picture.png fsoivv( 2465 
59 
ехр 
50 
21х 
: хоп 
50 
1 „927544622

 

Machine generated alternative text:
105 + + 
-80640*x 27 
72017 98016 571215 — 3276014 — — 11424012 
— 27 
diff( x) 
285601 — 13104013 —24864012 — 
80640 
fsolve( %) 
nogs ( %) 
-2. -1236067977: -1„3.236067977 
(2) 
(3) 
(4)

 

 

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