Hi Guys,
Am currently stuck with this rate of change question.
question is as per attached file.
Please help thanks !
Hello, liukawa!
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: .
. .
We are told: when
From [1]: .
Differentiate with respect to time: .
. . Therefore: .
The base of the triangle is
The height of the triangle is
The area is: .
Differentiate with respect to time: .
Therefore: .