# Recent content by dimpledur

1. ### Dual Core Physics/Engineering Pre-engineering question

Not entirely sure what a dual core physics/engineering program entails, however, it sounds similar to Engineering Physics. Why don't you research the program yourself, as I, nor anyone else can pick for you.
2. ### Courses How large are math courses at u of toronto?

2000 students in one lecture hall? These lecture halls must be massive.........
3. ### Getting sick during term

Hello all, How exactly do you all cope with getting sick during a school term? For example, if you were to have a flu? Do you continue studying, or do you take a break to get well? I have been doing absolutely nothing these last two days because my head won't let me. I did however finish a math...
4. ### Maximizing volume

I guess the next step would be to solve the system of equations for the four unknowns, since there are four equations. ALso was informed that there was an easier method to solving this question.
5. ### Maximizing volume

Okay, I have had a bit more experience with Lagrange multipliers, hence here is my next attempt. The maximum must occur on the boundary of, (x+y+z+\sqrt{z^2+y^2})={2} Hence, let L=0.5xyz+\lambda{(}x+y+z+\sqrt{y^2+z^2-2}) The critical points of L are determined via L_1=0.5yz+\lambda...
6. ### Maximizing volume

hmm, and when I tried finding critical points within the bounded portion the gradient told me there were not. It doesn't seem logical to just start plugging numbers in, as there are three variables that depend on girth.
7. ### Maximizing volume

Homework Statement Canada Post accepts international parcels whose (Length+Girth) is less than or equal to 2 meters, and Length is less than or equal to 1 meter. Girth is defined as the cross section. We wish to ship a parcel of the shape of a triangular prism of length l meters. The cross...
8. ### Rms voltage for capacitor charge/discharge

I probably should have caught that. Thanks!
9. ### Rms voltage for capacitor charge/discharge

When I do as you stated, I get an rms value of 2V. Steady state voltage in this particular instant is 1V.
10. ### Rms voltage for capacitor charge/discharge

Interesting. That seems a lot easier. Thanks!
11. ### Rms voltage for capacitor charge/discharge

Homework Statement Hello, I was wondering if anyone could confirm my work for the following graph: I'm supposed to find the rms for 1 complete cycle (0, 10ms) The time constant is 1ms. Charging phase, v=1-e^(-t/1ms)=1-e^(-1000t) discharging phase, v=e^(-1000t) The Attempt at a...
12. ### Average of 2 functions

Nvm, pretty sure it is as follows: \bar{f}=\frac{1}{10}\int^{5 ms}_{0}{1-e^{-t/1 ms}}+\frac{1}{10}\int ^{5}_{0}{e^{-t/1 ms}} Since the entire period is 10, then both contributions from each function needs to be divided by this number. If I hadn't done this, I would not be considering the other...
13. ### Average of 2 functions

If you look at the bottom graph that is orange, it gives visual representation as to what I am trying to take the average of. One period, two functions. One function for half the period, another function for the last half.
14. ### Average of 2 functions

Homework Statement My question pertains to taking the average over a particular period that is composed of 2 functions. For example, from [0, 5ms] the function is defined by 1-e^(-t/1ms)and then by e^(-t/1ms) from [5ms, 10ms]. Will the average from 0-->10 simply be the following...
15. ### Systems of equations using partial derivatives

x, y, z are dependent, and a and b are independent.