ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 unit (1 Viewer)

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

.

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

Need help with the ones circled.

 

[Aysce]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

For 3.c. just sub in the value of p and q into the points and find the gradient of OP and OQ. Use angle between the two lines.

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

For 3.c. just sub in the value of p and q into the points and find the gradient of OP and OQ. Use angle between the two lines.

I understood that though I was a bit confused on how to get the gradient. (Is it m= (ap^2-a)/2ap)?)

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

LOL WAIT NVM

Misinterpreted O

 

[RivalryofTroll]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

I understood that though I was a bit confused on how to get the gradient. (Is it m= (ap^2-a)/2ap)?)

isn't Mop = ap^2/2ap = p/2?

 

[Aysce]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

I understood that though I was a bit confused on how to get the gradient. (Is it m= (ap^2-a)/2ap)?)

Nope.

O (0,0) P(2ap,ap^2)

Finding gradient:

OP = {ap^2 - 0} / {2ap-0}
= p/2.

Sub in P.

Do the same with OQ.

 

[RivalryofTroll]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

LOL WAIT NVM

Misinterpreted O

Focus is S and O is origin. Always.

 

[Aysce]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

Question 3.d.

We know the equation of the tangent and it is given that at P t=p and at Q t= 2p. So we sub these two values into the equation of the tangent to give two different equations right?

So you have to find out where they intersect via simultaneous equations. This point is R. When you receive R, solve the x and y value simultaneously to eliminate the parameter, p.

Once p is eliminated, you will get the Cartesian equation. Obv with a little bit of tidying up.

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

I have reached the part where I have gotten the x value (3ap) and the y value (2ap^2) though I'm not too sure how you can turn it into a Cartesian equation. (how to eliminate p)

 

[RivalryofTroll]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

I have reached the part where I have gotten the x value (3ap) and the y value (2ap^2) though I'm not too sure how you can turn it into a Cartesian equation. (how to eliminate p)

x = 3ap
y = 2ap^2

ap = x/3

y = 2(x/3)p

p = x/3a

y = 2(x/3)(x/3a)

and so on.

 

[Sy123]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

I have reached the part where I have gotten the x value (3ap) and the y value (2ap^2) though I'm not too sure how you can turn it into a Cartesian equation. (how to eliminate p)

Just another algebraic approach to it incase you need it for future use.

 

[RivalryofTroll]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

Just another algebraic approach to it incase you need it for future use.

i just realised i overcomplicated things.

coulda just made p = x/3a

y = 2a(x/3a)^2
= 2x^2/9a

 

[Aysce]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

Keep posting more questions Examine. GO GO GO. Get dat 4u.

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

This was another I did not understand

Find the values of the real numbers A and B such that

x^4=(x^2+Ax+2)(X^2+Bx+2)

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

Also, maths got serious.

I've handed in my form to alter my timetable (so technically I'm in the 4u class at this moment), though if I don't get a good mark I'm immediately kicked.

 

[RealiseNothing]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

edit: derped hard.

expand RHS.

 

[RivalryofTroll]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

edit: derped hard.

expand RHS.

equating co-efficients?

 

[Sy123]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

This was another I did not understand

Find the values of the real numbers A and B such that

x^4=(x^2+Ax+2)(X^2+Bx+2)

Is the answer 2 and -2?

 

[Examine]

Re: ITT we help examine to get 85 in his Maths extension 1 yearlies so he can do 4 un

equating co-efficients?

I know it has something to do with this though I do not understand what the term means or anything about this term.