Recent content by yugeci

Interesting. I just realized that now looking at the plot again. Is there no way of figuring out where the global maximum will approximately be beforehand? Or do you have to just keep guessing?

OK I got it. But please correct me if I am wrong: The formula you posted will give me the red circled values (function when x = 0), and the one I posted gives me the green value (converging value of x)? Just let me know if I'm wrong then I'll look up a book again. :wideeyed:

I thought that method was for root finding? I am finding the maximum value of a function. Unless my concepts are wrong here..

I think the formula should be right. My teacher derived it from the Taylor Series, but I don't have my notes right now so I can't show that. It would take a while to type my working in LaTeX so I just took pictures of what I did. Just simple differentiation twice and then simplification. Then I...

Homework Statement Find the extremizing (maximum) value of the function f(x) = sin x / x using Newton's 1D method. Homework Equations [/B]The Attempt at a Solution I know the maximum point in this equation is (0, 1). When I differentiated the equation twice and used the formula above, I...

Homework Statement [/B] Find the instantaneous centers of the linkage below. Homework Equations # of ICs = n(n-1) / 2 The Attempt at a Solution [/B] From the equation above, there are 4(4-1)/2 = 6 ICs in this linkage. But one thing I don't understand is how there are 4 links when 2 and 3...

Homework Statement Calculate the DoF (mobility) of the following system: Homework Equations [/B] M = 3(L-1) - 2J1 - J2 (where L = number of links, J1 is the number of full binary joints and J2 is the number of half joints. The Attempt at a Solution I am very confident about there being...

I figured it out. This thread can be deleted.

Hi there, in my notes for Heun's method for solving an ODE, I have y(new) = y(old) + 0.5(k1 + k2)Δh And k1 is supposed to be f(y(old)) while k2 is f(y(old) + q11k1Δh) and q11 is 1 So if for example I have a simple differential equation like du/dt = au It would be du/dt = 0.5(k1 + k2) du/dt...

Alright. Thank you so much for the quick response. :)

So unstable would be if the final voltage kept increasing at some exponential rate, much higher than the original value of 10 V?

OK for t = 1 sec, V is constantly zero which is still OK I guess, but for t = 1.1 sec, equation 1 gives -1V. This shouldn't be possible?

Homework Statement Hi there. I have a simple RC circuit with a battery voltage of 10 V, R = 1 Ω, C = 1 F and a switch. I want to use the Explicit Euler (forward divided difference) to solve the equation and check for stability, rather than using a ODE. I am finding the equation for when the...

Help please? Just with the 2nd part (b).

The answer to that question wasn't provided unfortunately. But it does make sense to assume the velocity to be zero at the top otherwise I agree more information needs to be given. I am having some trouble understanding the second part (b), if the final velocity is zero, we still need the...