@Naz
1. Given 8^(x-3) = 4^2x / 64 , find value of x
2^3(x-3)=2^4x / 2^6
2^(3x-9)=2^(4x-6)
3x-9=4x-6
x=-3

2. If it's given PA = 2PB .. The ratio is 2 for PA while 1 for PB ? or??
PA/PB=2/1
PA:PB=2:1

3. The vectors a~ and b~ are non-zero and parallel. It is given that (8h-1) a~ = (2k+8)b~ , where h and k are constant. Find the value of h and of k
8h-1=0
h=1/8
2k+8=0
k=-4

4. It is given that sin teta = p , where p is a constant and 90 < teta < 180
Find in terms of p
sin teta=p, cos teta=-square root(1-p^2), tan teta=-p/square root(1-p^2)
a) sec teta=1/cos teta= -1/square root(1-p^2)
b) cos 2teta=1-2sin^2 teta =1-2p^2

5. Given y = ( x - 3 )^2 ( 2x - 5 ), find d^2y/dx^2
y=(x-3)^2 (2x - 5)
_=(x^2 -6x +9)(2x-5)
_=2x^3 - 5x^2 - 12x^2 +30x +18x - 45
_=2x^3 - 17x^2 + 48x - 45

dy/dx=6x^2 - 34x + 48
d^2y/dx^2=12x -34

6. Two variables , x and y are related by the eq y = 2x^2 - 3 / x, find
dy/dx when x = 3 .
y=2x^2 - 3/x
dy/dx=4x+3/x^2
_____=4(3)+3/9
_____=37/3

7. Given six letter cards

F R I E N D
--> Fours card are arranged to form four-lettered words.
Find, The probability that the words formed have all the consonants.
4P4=24

Well, that my answer, please tell me am i correct for these question.

Thank 4 correct me.

[quote=iAdor3 Naz,Nov 28 2010, 02:47 AM]
2. If it's given PA = 2PB .. The ratio is 2 for PA while 1 for PB ? or??
PA/PB=2/1
PA:PB=2:1

Are u sure this is right? So PA is 2 , while PB is 1 right? Hmm.. I do it like that also.. but the scheme give the other way round -.-"
I almost do this kind of question like this but dunno why d answer will different.


6. Two variables , x and y are related by the eq y = 2x^2 - 3 / x, find
dy/dx when x = 3 .
y=2x^2 - 3/x
dy/dx=4x+3/x^2
_____=4(3)+3/9
_____=37/3

I'm sorry but the answer is 7/3
HUH? How come?

AND ALSO.. FOR NON-ZERO and Parallel is equal to zero?.. while for the other way round, we have to add K right? hmm
normally yes. (8h-1) a~ = (2k+8)b~ there dont h any a~ at d other side. so, even we add K, it still d same.

Question 2 n 6 from which state/

@naz
2. PA=2PB
(x-2)^2 + (y-0)^2 = 4[(x-0)^2+(y-7)^2]
x^2-4x+4 +y^2=4x^2+4y^2+56y+196
3x^2+3y^2+4x+56y+192=0
Well, i dunno why u nid 2 use ratio?

For question 6, sori, i tot is 2x^2 - 3/x.
y=(2x^2 - 3)/x
_=2x - 3/x
dy/dx=2 + 3/X^2
_____=2+ 3/9
_____= 7/3

this question ask for velocity, so we nid to find d displacement not distance.
displacement^2=4^2 + 5^2
displacement=6.4
velocity=6.4/2=3.2

normally i use ratio to find d point that involve midpoint.