... the best way explain why things are the way they are. The Material cause answers the question for what things are made of, but this was only the first cause meaning that it is not enough on its own. The efficient ...

... 'a' increases by two, and secondly that 'c' is b+1 on both of the terms. As I currently only have two numbers in the sequence for 'a', my assumption about 'a' increasing by two each time is not necessarily correct, ...

... Denary 27 26 25 24 23 22 21 1 0 1 0 0 0 0 1 1 67 * 01000011 Binary = 1x64+1x2+1x1 = 64+2+1 = 4. 10010100 = Binary integer Denary 27 26 25 24 23 22 21 1 1 0 0 1 0 1 0 0 148 * 10010100 Binary = 1x128+1x16+1x4 = 128+16+4 = 148 5. 00000000 = Binary integer Denary 27 26 25 24 23 22 21 1 0 0 0 0 0 0 0 0 * 00000000 Binary = 0 = 0 = 0 6. 11111111 = Binary ...

... cause just the substance something is made from, but also the means by which a thing is brought about (how we see it and can tell what it is). The efficient cause is the means in which something actually becomes ...

... an increasing function. n By using the quotient rule, I will find f'(x): This tells us that "a" = 81000. "x" represents the number of years. That means that "x" will always be a positive, since a negative amount of years is impossible. f'(x) ...

... integers for the number 8 (iii) ?(11): 1 2 3 4 5 6 7 8 9 10 11 11 = 1,2,3,4,5,6,7,8,9,10 The number 11 has 10 positive co-prime integers, they are shown above. (iv) ?(24): 1 2 3 4 5 6 7 8 9 ...

... shown previously we can see that some clear patterns emerged. For example I noticed that for all the prime numbers the Phi is one less than the prime number. ?2=1=1 ?11=1 2 3 4 5 6 7 8 9 10=10 ?3=1 2=2 ?13=1 2 ...

... of each snail (5 snails of different mass -different surfaces to test the mucus's strength Planning B Materials For this experiment we will use: - Equal sized different surfaces (plastic, Styrofoam, foam) - Oil (to see what affect it has on the mucus) - Water (to ...

... When you double the phi number the answer for that number is double the original answer (also these phi numbers are powers of 2) (4) = 2 (8) = 4 (16) = 8 (32) = 16 (and the trend ...

... the essence of the themes that will later develop. When an audience begins reading a text they engage in the process of predicting what will happen based on the clues give. Most films want to orientate the audience quickly so ...

... 19 20 21 22 23 24 25 26 27 28 ?(7) x ?(4)=6 x 2=12; So ?(7 x 4) = ?(7) x (4) is true. 2) ?(6 x 4)=?(6) x ?(4); ?(6)=2; 1 2 3 4 5 6 ?(4)=2; I have found ?(4) already. ?(6 x 4)= ?(24)=8; I have ...

... 27=12 ?(7)=1, 2, 3, 4, 5, 6=6 ?(4)=1, 2, 3=2 2x6=12 12=12, therefore a prime and an even work(non-prime). B) ?(6x4) = ?(6) x ?(4) 6x4=24 ?(24)=8 ?(6)=1, 2, 3, 4, 5=2 ?(4)=2 2x2=4 4=8, therefore two evens don't work. C) ?(5x10)= ?(50) ?(50)=20 ?(10) x ?(5) 4x4=16 16=20, therefore two multiples ...

... external verbal-like modes of representation (such as writing), to have an intentionality derived from the original intentionality of states of mind, and thus explainable in terms of the latter. Intentionality is, according to Millikan, a question of degree: indeed, she ...

... ...

... of positive integers less than three and has no other common factor other than 1 is two integers: 1 and 2. Therefore this shows that the phi function of 3 is 2. (2) ?(8) = 4 The factors of 8 are: 1, ...

... PART ONE (b) Obtain the Phi function for at least 5 positive integers of your own choice i) o(10) I am using 10 as it is an even number.... 1, 2, 3 ,4 ,5 ,6 , 7, 8 , 9, 10 ...

... least 5 positive integers of your own choice. (I) ?(6): 1 1 2 1,2 3 1,3 4 1,2,4 5 1,5 6 1,2,3,6 6 = 1 and 5 The number 6 has 2 positive integers, they are shown above. (ii) ?(10): 1 1 2 1,2 3 1,3 4 1,2,4 5 1,5 6 1,2,3,6 7 1,7 8 1,2,4,8 9 1,3,9 10 ...

... and so ?(20) = 8 This way we can draw a table as is shown on the next page to find out the ? values for all the numbers till 40. The table is shown on the next page. By using ...

... than 1. 3- ? (11) = 10, 9, 8, 7, 6, 5, 4, 3, 2, 1. ? (11) = 10 This is because there are 10 positive integers less than 11 which have no common factors with 11 other than 1. 4- ? (24) ...

... number. However, you could say that it is not too hard working the phi out for numbers say 1 to a 100. Yet what would happen of you needed to know the phi of 30,041. To complete my goal ...

... boundary and so does not come under the notation of n. The phi function of a positive inter, n, is expressed as ?(n). Two terms are co-prime when they have no factor in common other than one. For example 3 ...

... (ii) ?(8): = 4 8 = 1,3,5,7 There are 4 positive co-prime integers for the number 8 (iii) ?(11): = 10 11 = 1,2,3,4,5,6,7,8,9,10 The number 11 has 10 positive co-prime integers, and they are shown above. (iv) ?(24): = 8 24 = ...