Hi Guys,

Am currently stuck with this rate of change question.

question is as per attached file.

Please help thanks !

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- Dec 13th 2010, 04:14 PMliukawaRate of change question
Hi Guys,

Am currently stuck with this rate of change question.

question is as per attached file.

Please help thanks ! - Dec 13th 2010, 08:57 PMliukawa
up for help guys !

Thanks ! - Dec 13th 2010, 09:24 PMSoroban
Hello, liukawa!

Quote:

Code:`|`

| *

| /

| /

| */

| /

* | o P

* | */

- - - * - o - - - - - - -

| /Q

| /

|/

o R

/|

The slope of the tangent is: .

At , the slope is: .

The equation of the tangent is:

. .

When .[1]

. . The coordinates of are: .

When .[2]

. . The coordinates of are: .

Quote:

. .

We are told: when

From [1]: .

Differentiate with respect to time: .

. . Therefore: .

Quote:

The base of the triangle is

The height of the triangle is

The area is: .

Differentiate with respect to time: .

Therefore: .

- Dec 13th 2010, 09:36 PMliukawa