Qualification > Math

P1 Help Requested

(1/2) > >>

elemis:
Okay looking at the diagram below, notice the red line. It is the shape of a trapezium.

You can find the area under the curve and from this value MINUS the area under the line.

First I found the two points at which the curve and line intersect :

x2 - 4x +4 = 7-2x

Hence, x2-2x -3 =0

Solving for x gives : 3    and  -1

Inputting the above x values into 7-2x = y  give corresponding y coordinates of : 1 and 9

Finding the area under the line :



Next I integrate the curve to get :



Inputting 3 into above gives a value of 1/3 .

Inputting -1 into abov gives : -9

Hence 1/3 - - 9 =

Hence, 20 - =

Deadly_king:

--- Quote from: Ari Ben Canaan on October 10, 2010, 02:37:09 pm ---Okay looking at the diagram below, notice the red line. It is the shape of a trapezium.

You can find the area under the curve and from this value MINUS the area under the line.

First I found the two points at which the curve and line intersect :

x2 - 4x +4 = 7-2x

Hence, x2-2x -3 =0

Solving for x gives : 3    and  -1

Inputting the above x values into 7-2x = y  give corresponding y coordinates of : 1 and 9

Finding the area under the line :



Next I integrate the curve to get :



Inputting 3 into above gives a value of 1/3 .

Inputting -1 into abov gives : -9

Hence 1/3 - - 9 =

Hence, 20 - =

--- End quote ---

Sorry........but can't see any diagram below.

Can you post the whole question ???

elemis:

--- Quote from: Deadly_king on October 10, 2010, 02:45:47 pm ---Sorry........but can't see any diagram below.

Can you post the whole question ???

--- End quote ---

A member requested some help regarding this question via PM.

This is my explanation to help that member ;)

Deadly_king:

--- Quote from: Ari Ben Canaan on October 10, 2010, 02:52:57 pm ---A member requested some help regarding this question via PM.

This is my explanation to help that member ;)

--- End quote ---

Oopz.....sorry br0 ;)

That's why I was wondering.....it looked more like an explanation ;)

elemis:

--- Quote from: Deadly_king on October 10, 2010, 02:55:00 pm ---Oopz.....sorry br0 ;)

That's why I was wondering.....it looked more like an explanation ;)

--- End quote ---

A long one too ,eh ?  ;D

Navigation

[0] Message Index

[#] Next page

Go to full version