Prove, by M.I that if n is a whole number then,
n^3 + 3n^2 +2n is divisible by 6
Prove this same result without M.I by first factorising.
2.
A wire of length 100cm is cut into 2 pieces of length x and y. THe peice of length x is bent into the shape of a square and the y peice into...
A picture 2 metres high is hung on a wall with its bottom edge 6 metres above the eye of the viewer. How far from the wall should the viewer stand for the picture to subtend the largest possible verticle angle with her eye.
2.
Show that cosecx restricted to 0 < x < = pi/2 has an inverse...
Hey there, its been awhile since i've done my maths
and now i'm doing actuary!! :(
so i am rusty... and am wondering (from u genious's) how do complete these so called simple calculus questions...
1. Deduce that a+b/2 >= root(ab) for all non0negative real numbers, a,b. When does the...
Hey anyone doing the above combination?
It would be great to get to know some of u.
Reply if u'd want to meet up O week so we can introduce ourselves... cuz we'd be doing all our classes together!
Pete
Offering tutoring for Maths in the greater western sydney area (penrith etc..)
acheived 96 in 2005 hsc - and have previous tutoring experience (tutored 2 students during hsc year)
$15-20 an hour - ideally at Penrith library, afternoons on weekdays...
thanks
Is 0 an even number?
Yes. An even number leaves no remainder when divided by 2. So, 0/2 = 0 and has no remainder. Also, an integer 'n' is called "even" if there exists an integer 'm' such that n=2m, and n is called "odd" if n+1 is even. Thus, 0 is even by this criterion as well.
Kool huh.
am i the only one who cannot do this... i mean, i've learnt all my texts, know my quotes... what more can i do...
and all the time i hear people studying 8 hour days, i think, for a saturday, i've done enough...
meh, just my little spaz
What seems like the most likely text type they'll use... because my story would only go well for general story, recount, journal... not letter, conversation etc...
I thought this first one would be easy
8 pink beads and 8 white beads make up a necklace.
how many ways can the necklace be made if;
i) there are no restrictions (2 sig. fig.)
i thought 16! -> but thats the wrong solution??
ii) pink and white alternate
i thought 8!.8! x2
meh...
I've done this, jst thought i'd let you's have a crack for .... fun
By considering (1-x)^n (1 +1/x)^n
express,
(n 2)(n 0) - (n 3) (n 1) +...+ (-1)^n (n n) (n n-2) where (n n) = nCk
in simplest form
This doesn't include the option topics, sorry. Also these are basic summaries - good for answers in the HSC:
Walter Sutton
Sutton studied grasshopper cells and came to the conclusion that each chromosome is unique and that they halve during meiosis. Each also keeps its character throughout...