Mathematics: Post your doubts here!

[Pals_1010]

Hello, I need help on the last part of this question.

I got the equation like in the mark scheme but how do you get x approaches 10 for the last part?

Thanks

 

[kronix6]

Hi can anyone help me in ths question. I dnt know what to do in the second part.

Question is : the parametric equation of a curve are x=2cost , y=5+3cos2t , where 0<t<pie .
Express dy by dx in terms of t, and hence show that the gradient at any point of the curve is less than 6.

 

[whitecorp]

Hi can anyone help me in ths question. I dnt know what to do in the second part.

Question is : the parametric equation of a curve are x=2cost , y=5+3cos2t , where 0<t<pie .
Express dy by dx in terms of t, and hence show that the gradient at any point of the curve is less than 6.

dy/dt = -6sin2t, dx/dt= -2sint

dy/dx = dy/dt divided by dx/dt = -6sin2t/-2sint = 3sin2t /sin t =3 (2sint cost)/sin t = 6 cost
Since 0<t<pi, -6 <6cost <6 (shown)
Note that dy/dx denotes the gradient function of the curve at a generic point for a parameter value of t.

Hope this helps. Peace.

 

[Jspake]

hmmm. intersesting, hahah, does the question require an exact answer or a rounded off one?

It has an exact answer..

 

[whitecorp]

I am reposting this.. is anyone willing to help me??

The diagram shows the graph of y = x^n, where n is an integer. Given that the curve passes between the points (2, 200) and (2, 2000), determine the value of n.

Please explain the solution step-by-step.. thanks!

What exactly do you mean by passing between the points? Does the curve pass through those two given points?

If it does, you may wish to check if you have provided the correct set of coordinates. It is obvious the graph is strictly increasing but yet your two points have the same x-values (which means the strictly increasing nature of the graph automatically breaks down).

Peace.

 

[leadingguy]

Hi can anyone help me in ths question. I dnt know what to do in the second part.

Question is : the parametric equation of a curve are x=2cost , y=5+3cos2t , where 0<t<pie .
Express dy by dx in terms of t, and hence show that the gradient at any point of the curve is less than 6.

now use values of t like o pi/2 and pi to get different ans of dy/dx. u will get values less then 6 hope this image is clear

 

[Ashayn]

Assalamoalaikum Wr Wb!

Post your doubts here. Make sure you give the link to the question paper when posting your doubts.


May Allah give us all success in this world as well as the HereAfter...Aameen!!

And oh yeah, let me put up some links for A level Maths Notes here.

Check this out! - Nice website, with video tutorials!

My P1 Notes! - Only few chapters available at the moment!

Maths Notes by destined007

Some Notes for P1 and P3 - shared by hamidali391

A LEVEL MATHS TOPIC WISE NOTES

MATHS A LEVEL LECTURES

compiled pastpapers p3 and p4 - by haseebriaz

Permutations and Combinations (my explanation)- P6

Permutations and Combinations - P6

Vectors - P3

Complex No. max/min IzI and arg(z) - P3

Sketcing Argand Diagrams - P3 (click to download..shared by ffaadyy)

Range of a function. - P1

Jazak Allah Khair!
mathy..

Thanks for the notes.... really helpful
http://www.xtremepapers.com/papers/...AS Level/Mathematics (9709)/9709_s05_qp_3.pdf I need help with no. 8 part ii)
and also, on number 2 the mark scheme says the height is 0.6.... how can that be when the range for x is -0.6 to 0.6??

 

[Ashayn]

http://www.xtremepapers.com/papers/...AS Level/Mathematics (9709)/9709_s05_qp_3.pdf I need help with no. 8 part ii)
and also, on number 2 the mark scheme says the height is 0.6.... how can that be when the range for x is -0.6 to 0.6??

 

[nightrider1993]

Hello, I need help on the last part of this question.

I got the equation like in the mark scheme but how do you get x approaches 10 for the last part?

Thanks View attachment 17030View attachment 17031

Basically when t becomes really large the value of (exp(0.1t)-1) reaches infinty...
Therefore its like 20*(infinity)/2*(infinty)
Thus infinity cancel out and u get 10..

 

[Shahwar saroya]

What was the answer for the question of transformation?Which transformation was it? in oct/nov 2012 math p1?

 

[nightrider1993]

http://www.xtremepapers.com/papers/...AS Level/Mathematics (9709)/9709_s05_qp_3.pdf I need help with no. 8 part ii)
and also, on number 2 the mark scheme says the height is 0.6.... how can that be when the range for x is -0.6 to 0.6??

Q8 part ii)

 

[nightrider1993]

http://www.xtremepapers.com/papers/...AS Level/Mathematics (9709)/9709_s05_qp_3.pdf I need help with no. 8 part ii)
and also, on number 2 the mark scheme says the height is 0.6.... how can that be when the range for x is -0.6 to 0.6??

Since there are two intervals, therefore the height = (0.6+0.6)/2
=0.6

 

[nightrider1993]

I am reposting this.. is anyone willing to help me??

The diagram shows the graph of y = x^n, where n is an integer. Given that the curve passes between the points (2, 200) and (2, 2000), determine the value of n.

Please explain the solution step-by-step.. thanks!

Bro there are 2 mistakes in ur question.
1st= Ur questions says there are two values of y when x=2, but ur graph doesnt support it
2nd= I dont think u will hv a integer value for n...

 

[leadingguy]

can any good one draw the last part only with a little working to meake me understand please thanks

 

[Minato112]

can any good one draw the last part only with a little working to meake me understand please thanks

Do you have the answers?

 

[leadingguy]

Do you have the answers?

 

[Minato112]

can any good one draw the last part only with a little working to meake me understand please thanks

Here are the answers:

 

[falcon678]

guyss.... can some one please help me with the differentiation ??? m stuck...!

 

[Minato112]

guyss.... can some one please help me with the differentiation ??? m stuck...!

Check here: http://patrickjmt.com/basic-derivative-examples/ with other related topics at the end of the page

For more chapters, check the main site : http://patrickjmt.com/

 

[snowbrood]

need help guys please