Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Help Me ! » Differential Equations » 2008-09-15 07:48:47

tulip007
Replies: 1

x' = tx^2          x(1) = 1

I have missed the lecture to explain this and the lecturer is not available to explain this to me, so any help would be greatly appreciated.

#2 Help Me ! » Riemann integration » 2008-09-13 09:27:57

tulip007
Replies: 1

Define q(x) = 1 if x ε Q and g(x) = 0 otherwise.  Prove that q is not Riemann integrable on {0,1) by showing that for all partitions P
U (q, P) – L(q,P) > 1

I am really lost on this question, any help would be greatly appreciated!

#3 Help Me ! » Integration by partial fractions » 2008-08-06 16:26:34

tulip007
Replies: 1

I am not sure how to put this equation into partial fractions.  Any help would be appreciated.
10x + 1/(x(x + 1)(x + 2)).

#4 Help Me ! » velocity and acceleration » 2008-07-17 09:44:58

tulip007
Replies: 3

A particle P moves a long a straight line so that its distance x from the origin is given by the formula
x = 2t^3 - 9t/62 + 12t'
Find the velocity v and acceleration a of P at anty time t.  Show that v = 0 when t = 1 and t =2.

#5 Help Me ! » Quadratic taylor series » 2008-05-17 16:29:36

tulip007
Replies: 1

I have to write the quadratic taylor series for the expression e^(-x^2).  This topic was skimmed over during the lectures and now I have no idea what I am doing.  Any help would be greatly appreciated!!eek

#6 Help Me ! » elliples and double integrals » 2008-05-13 17:39:40

tulip007
Replies: 1

Express the area A defined by the upper quadrant of the ellipse x^2/a^2  + y^2/b^2 = 1
as a double integral in the x,y plane.  Hence show that A = πab/4

#7 Help Me ! » Green's theorem » 2008-05-12 19:56:53

tulip007
Replies: 1

Use Greens theorem in the plane to evaluate the work inegral:
W = ∫ F. dr = ∫ (3x - y) dx + (x + 2y) dy
where C is the boundary of the ellipse x^2 + 4y^2 = 9

#8 Help Me ! » polar coordinates and centre of mass » 2008-05-08 17:59:31

tulip007
Replies: 1

Use polar coordinates in the plane to show that the area of a disc of radius a is ∏a^2.
Using this result, determine the volume of a cone of height h and radius a.  Find the position of its centre of mass.

#9 Help Me ! » Double integrals » 2008-05-06 17:43:56

tulip007
Replies: 1

Express the area A defined by the upper quadrant of the ellipse
x^2/ a^2   + y^2/ b^2 = 1
as a double integral in the x, y plane.  Hence show that A = ∏ab/4

#10 Help Me ! » Partial derivatives are giving me nightmares! » 2008-04-30 15:24:59

tulip007
Replies: 1

I have a question about using the quotient rule to parial differentiate.  I seem to be confusing myself on how to get the answer and I can't get it.  Normally quotient rule is really easy for me, now I am going nuts.  If anyone could please show me how to work out this example so I can use the technique to work out other problems I would greatly appreciate it!

f(x,y) = (x + y)/(xy - 1)
dizzy

Board footer

Powered by FluxBB