1. S

    Derived a stochastic part

    Hi all I have a question if I have an ordinary differential equation how can I derive a stochastic part to this deterministic equation? because after that I want to simulate this stochastic differential equation. Thanks in advance
  2. maxpancho

    How is this derived?

    $\sin^2(2x)=\dfrac{1-\cos(4x)}{2}=\dfrac{1}{2}(1-\cos(4x))$ I know these two identities should be used here, but I'm not sure what's exactly legal when they are used together at the same time. $\sin^2(x)+\cos^2(x)=1$ $\sin(2x)=2\sin(x)\cos(x)$
  3. sakonpure6

    Derived Functions

    Hi, we have f(x)=2x and g(x)=x^2-15, what is (f-g)(-3). And this is a multiple choice question with the following answers : a) -12 b) -6 c) 0 d) 30 I first found out (f-g) which = (x-5)(x+3) Then this means that (x-5)(x+3)(-3). Since (f-g)(-3). What next? Is this all the question is asking...
  4. K

    Solution forms for the CFs of 2nd order differential equations: how are they derived?

    I'm currently in year 12 studing FP2 maths and we've just finished second order differential equations. One of the things that bugs me about Edexcel is their lack of proof (I know some things are out of spec, but a pointer to a site or something would be good); more particularly, for the...
  5. D

    Just want clarification please for some derived function

    First off is the composite rule same as the chain rule Second the derivative of each of the function f(x)= e^5x is it f'(x)=5e^5x and f(x)=cos(7x) is f'(x)=-7sin7x and are they solved by using the composite/chain rule
  6. M

    Help with equation derived from Poisson’s equation

    Can anyone help me fill in the steps to get this solution from Poisson's equation of electrostatics? Thanks!
  7. S

    Please help me derive this value of the integral using an already derived result!

    By the SINE INTEGRAL OF SINE PULSE, we derived in the class that pi/2 = integral 0 to infinity ( ( sin w ) / w ) dw now PLEASE PROVE that "" integral 0 to infinity ( (sin^2 w ) / w^2 ) dw = pi/2 "" as well. I'll be really very thankful as it is very urgent. Thanks
  8. O

    derived sets

    prove that the derived set of T = { 1/m + 1/n | m,n are natural numbers} is the set U = {1/n | n is a natural number}. first show that U is a subset of the derived set of T. To prove that T has no other limit points, show that there are only finitely many points of T in (1/N, 1/(N-1)) that are...
  9. O

    Help needed with derived integral

    Hi I reeeaallly need some help here. This equation ImageShack® - Online Photo and Video Hosting (listed in numerous journals) is related to the calculation of the capacity factor of a wind turbine from certain parameters. I have them all (weibull k & c values, turbine characteristics...
  10. S

    Can't figure out how a area forumla was derived for a Slicing Method problem

    Hi, new poster here, so please forgive any mistakes of mine. :) I've been trying to solve this problem : "The solid with a semicircular base of radius 5 whose cross sections perpendicular to the base and parallel to the diameter are squares." in an effort to study for an upcoming test I have...
  11. H

    Question about how complex poles are derived

    Can someone please look at the attached pdf and tell me how the top part is siomplified to the bottom.
  12. A

    Need help to understand how the slope was derived in this problem

    I am kind of struggling to understand how the slope is derived in the following problem: "Find the equation of the tangent line to the curve y = x^2 through the point (7, 49)." The answer is that the slope is 2x but I don't understand how they got there since there is only one set of points...
  13. K

    Can anyone help me identify the pattern used to derived the following numbers list

    15 18 21 28 31 25 01 09 15 23 30 15 17 23 28 32 33 10 01 08 20 22 23 03 19 21 23 34 35 26 01 11 15 27 28 32.
  14. B

    3 variables(constants) with 3 equations derived from calculus.

    I've tried multiple ways yet still cant find the write combination to solveing for x y and z,(Angry) they are known as constant. 5.3 = ( x-y*e^(-z) ) / z 7.7 = ( x-y*e^(-3z) ) / z 8.95 = ( x-y*e^(-5z) ) / z I apologize if this post is in the wrong topic and would gladly delete this and...
  15. E

    A question related to Derived Distributions

    Can anyoner help me to solve this question... I'm really stuck on this one :confused: Andy is vacationing in Las Vegas. The amount X (in Dolars) he takes to casino each evening is a random variable with a PDF of the form fX(x)=ax if 0≤x≤23 and 0 otherwise. At the end of each night, the...
  16. M

    Derived Set Proof

    Hello, I am currently studying for my analysis midterm, and I can't seem to figure out how to solve the following: Let S,T ⊂Rn. Show that (SUT)' = S'UT'. Where S' and T' represent derived sets. Any help with this problem would be greatly appreciated!
  17. M

    What is the derived set of and closure of [3,7)

    What is the derived set of and closure of [3,7) ? Please explain your answer. Thanks.
  18. Z

    Is derived set closed in any topological space?

    Given a metric space X and a subset A of X, it can be easily proved that derived set A'(set of all limit points of A) is closed. Does this hold if X is a general topological space? Thanks!
  19. T

    Finding out if a function can be derived at certain point

    Hello, One question that the professor of my calculus course likes to include in his exams is, if a certain function f(x) can be derived at a certain point (e.g. x=0). In order to find this out, do I always have to find the limit \lim\limits_{h\rightarrow0}\frac{f(x_0+h)-f(x_0)}{h} or can I...