Does anyone have the worked solutions to Cambridge 3 unit?
It's kinda annoying when you don't have them, especially cos I'm stuck on the Extension questions.
Thanks guys
Hey guys
What is the minimum distance between y=3x^2 and y=2x-1. I have used the distance formula, but the problem is that I have no idea what to put for the x values. The y value in the distance formula is 3x^2-2x+1 but what do i put in the for the x values.
Cheers
Hey guys
The problem is attached as a Jpeg file. It was too difficult to write out here, especially with all the funny notation.
I've tried equating coefficients, substituting in values, but can't seem to figure out the answer.
Help appreciated!!!
If the letters of the word gumtree and the letters of the word koala are combined and arranged into a single twelve-letter word, in how many of these arrangements do the letters of koala appear in their corect order, but not necessarily together.
I'm stuck on this question:
prove via induction:
1^4 + 2^4 + ... + (n-1)^4 + n^4 = 1/30 x n x (n+1) x (2n+1) x (3n^2 + 3n - 1)
Now I can do it one way but I'm not sure if it is allowed because it is sort of like cheating and its an unelegant proof. For example can you expand the RHS to one...
Anyone here looking to go to american or british universities go to the sites in the thread name. people here are ignorant and won't help but you'll find a wealth of information on those sites.
Aspirin is made by adding acetic anhydride to an aqeous solution of salicylic acid. Equation is
salicylic acid acetic anhydride aspirin
2C7H603 + C4H6O3 -> 2C9H8O4 + H2O
If 1000g of salicylic acid is used with 2000g of acetic anhydride...
how come it seems that the 3 unit course is so comprehensive according to the cambridge 3 unit series? like there is all this stuff on continuity and differenitability that all the other books, even fitzo doesnt have
Hey was just wondering what is the differene between y=x and y=x^2/x. Like if you mulitply a function by say "x/x" is it the same or does the new function have a discontinuity. Like if you change y=x to y=x^2/x, then does the domain and range remain but at the discontinuity x=1, you evaluate in...
Prove the following
a)1+x+x^2>0
b)1+x+x^2+x^3+x^4>0
c) For all positive integers n, 1+x+x^2+x^3+x^4+...x^(2n-1)+x^(2n)>0
d)x=-1 is the only zero of 1+x+x^2+x^3+x^4+...x^(2n-1)
I do not have a clue as to how to start any of these questions. Can anyone please help me with the solutions? I'm just...
hey everyone.
i currently have a question that needs resolving. i currently go to the emanuel school but have won a full scholarship to reddam. can i just like slack off for the rest of the year, especially as school cert. if worth jack-all?
or are my reports and record and shit transferred...
hey everyone.
i currently have a question that needs resolving. i currently go to the emanuel school but have won a full scholarship to reddam. can i just like slack off for the rest of the year, especially as school cert. if worth jack-all?
or are my reports and record and shit transferred...
P (sec x, b tan x) lies on the hyperbola x^2/a^2 - y^2/b^2 = 1. The tangent at P cuts the x-axis at X and the y-axis at Y. Show that PX/PY = sin^2 x and deduce that if P is an extremity of a latus rectum, then PX/PY = (e^2-1)/e^2.
hey this is from the cambridge 4 unit book
A particle moves in a straight line away from a fixed point O in the line, such that when its distance from O is x its speed v is given by v=k/x, for some constant k.
a) show that the particle has a retardation which is inversely proprtional to x^3.
b)...