Maple1131W6T5 - Collections of Expressions
Saturday, 14 April 2018
12:15 PM
Created with Microsoft OneNote 2016.
![Untitled picture.png Machine generated alternative text:
We define the following sets and lists in Maple.
restart;
6,
9,
6,
9,
4,
4,
4,
4,
Which of the following are true?
S2=S3
S5=S6
Untitled picture.png Machine generated alternative text:
In Maple; the ithprime function returns the ith prime number Note that 1 is not a prime number. The first prime number is 2 For example,
lee)];
will assign P the list of the first 100 prime numbers.
(a) Enter the sum of the first 77 prime numbers in the box below
13490
(b) Enter the sum of squares of the prime numbers from the 36 th prime to the 56 th prime inclusive in the box below
914709
(c) Enter the product the prime numbers from the 10 th prime to the 18 th prime inclusive in the box below.
525737919635921
Untitled picture.png Machine generated alternative text:
P .77)];
[2: 3: 7: 11: 13: 17: 19: 23: 29: 31: 37: 41: 43: 47: 61: 67: 71: 73: 79: 83: 89: 97: 103: 107: 109: 113: 127: 131: 137: 139: 149: 157: 163: 167: 173: 179: 181:
191: 193: 197: 199: 21 223: 227: 229: 233: 239: 241: 251: 257: 263: 269: 271: 277: 281: 283: 293: 307: 31 313: 31 7: 331: 337: 347: 349: 353: 359: 367: 373: 379: 383: 389]
add(k k — P)
adä(k2, k — P) ,
mul(k k— P)
13490
36
[151: 157: 163: 167: 173: 179: 181: 191: 193: 197: 199: 21 223: 227: 229: 233: 239: 241: 251: 257: 263]
914709
10
[29: 31: 37: 41: 43: 47: 61 ]
525737919635921
(2)
(4)
(5)
(6)
Ink Drawings
Ink Drawings
Ink Drawings](Maple1131W6T5%20-%20Collections%20of%20Expressions_files/image003.png)
![Untitled picture.png Machine generated alternative text:
P .77)];
[2: 3: 7: 11: 13: 17: 19: 23: 29: 31: 37: 41: 43: 47: 61: 67: 71: 73: 79: 83: 89: 97: 103: 107: 109: 113: 127: 131: 137: 139: 149: 157: 163: 167: 173: 179: 181:
191: 193: 197: 199: 21 223: 227: 229: 233: 239: 241: 251: 257: 263: 269: 271: 277: 281: 283: 293: 307: 31 313: 31 7: 331: 337: 347: 349: 353: 359: 367: 373: 379: 383: 389]
add(k k — P)
adä(k2, k — P) ,
mul(k k— P)
13490
36
[151: 157: 163: 167: 173: 179: 181: 191: 193: 197: 199: 21 223: 227: 229: 233: 239: 241: 251: 257: 263]
914709
10
[29: 31: 37: 41: 43: 47: 61 ]
525737919635921
(2)
(4)
(5)
(6)](Maple1131W6T5%20-%20Collections%20of%20Expressions_files/image004.png)
![Untitled picture.png Machine generated alternative text:
Find a 10 significant figure approximation to the sum of the cos of the odd numbers from 1 to 69_
0
0.3678751594
0 0.2299219746
0 0.3218907645
0
0.4138595544
0 0.5058283442
0 0.2759063696
@ 0.4598439493
0 0.6437815290
0 0.5518127392
0
0.5977971341
Select your answer from the list below.
Untitled picture.png Machine generated alternative text:
L [seq(1 2k
[1: 3: 729: 11: 13: 15: 17: 19: 21: 23: 25: 27: 29: 31: 33: 35: 37: 39: 41: 43: 47: 49: 61: 63: 67: 69]
k— L), 10)
04598439500
(2)
Untitled picture.png Machine generated alternative text:
Construct a list of cosines of 100 terms
[cos(0.1), cos(0.2), cos(0.3), ... , cos(9.9), cos(10.0)]
Sort the list from smallest to largest. What is the 35 th term?
o
-0.7259323042
0 0.1865123694
o
-0.8110930141
o
-0.3073328700
0
0.3623577545
o
-0.9709581651
0 0.05395542056
o
-0.1288444943
—0.5885011173
o
-0.8891911526
o
-0.4313768450
o
-0.9364566873
Untitled picture.png Machine generated alternative text:
-0.588S011173](Maple1131W6T5%20-%20Collections%20of%20Expressions_files/image005.png)