Help me Please (1 Viewer)

classact

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Please help, these questions are killing me, Ive done like 12 but these ones, are confusing me… Need by Friday Morning. Thanks Guys
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Consider the curve given by y=x^3 -12x+4
<o:p> </o:p>
a) find the co-ordinates of any stationary points and determine their nature
b) find the co-ordinates of any points of inflexion
c) for what value(s) of x in the domain -3≤x≤4 does y have its maximum value ?

a) What is the condition (in terms of dy/dx) for a function to be decreasing
b) Find the values of x for which the function y=4 + 36x-3x^2 – 2x^3 is decreasing

&shy;&shy;&shy;Find
i) ∫(1-x^2)dx
ii) ∫(x + 1/x^2) dx
<o:p> </o:p>
Show that ∫4 √2x + 1dx = 8 and two thirds.
0<o:p></o:p>
<o:p> </o:p>
And Finally …
The region, enclosed by the parabola y^2=4ax and the line x=a is rotated about the x axis. Find the volume of the solid formed.
<o:p> </o:p>
Thank sooo much <o:p></o:p>
 

jemsta

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for integration
1) int[1-x^2]
= x- x^3/3 + C
ii) int[x+1/x^2]
= int[x+x^-2]
= x^2/2 - 1/x
 

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