Differentatiation & integration

[traderz]

Homework Statement

1) y=arccos (cos x) - e^Lnx^2 find dy/dx

2) y=(lnx)^2- lnx^2 find dy/dx

3) Given y=x^3 and y^2=x

a) Calculate the points of intersection
b) Make a neat sketch to show the area enclosed between the two graphs (indicate the points of intersection & the representative strip)
c) Calculate the magnitude of the area in question (b)
d)Calculate the volume generated when the area in (b) rotates about the x axis

Homework Equations

1) y=arccos (cos x) - e^Lnx^2 find dy/dx

2) y=(lnx)^2- lnx^2 find dy/dx

The Attempt at a Solution

 

[hunt_mat]

What have you done so far?

 

[dextercioby]

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