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    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.
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    Courses How large are math courses at u of toronto?

    2000 students in one lecture hall? These lecture halls must be massive.........
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    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...
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    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.
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    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...
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    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.
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    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...
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    Rms voltage for capacitor charge/discharge

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

    Interesting. That seems a lot easier. Thanks!
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    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...
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    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...
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    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.
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    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...
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    Systems of equations using partial derivatives

    x, y, z are dependent, and a and b are independent.
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    Question involving gradient

    Actually, I'm pretty sure that it simplifies to \frac{y^3}{(x^2+y^2)^{3/2}}
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    Question involving gradient

    Hello again, I tried manipulating the equation but I cannot seem to eliminate x as you have...
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    Question involving gradient

    I'm going to bed. I changed my post like 3 times, so obviously I am tired. After computing the length of the gradient vector, how does one determine if it is indeed less than or equal to a particular number for the domain?
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    Systems of equations using partial derivatives

    Okay... I just looked at my notes, and part 1 can be solved via Jacobian matrix. Take the determinant of the matrix, and if this value is nonzero, then that assures us these can be solved with respect to x, y, z.
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    Systems of equations using partial derivatives

    Not sure about part 1. I believe part two is telling you to take the partial derivative of the system of linear equations with respect to a, all the while regarding both a and b as independent variables... Someone can clarify this.
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    Question involving gradient

    Okay. sin\theta=\frac{y}{\sqrt{y^2+x^2}} Thus, f(x, y)=\frac{xy}{\sqrt{y^2+x^2}} Moreoever, \nabla =[\frac{y}{\sqrt{x^2+y^2}}-\frac{x^2y}{(x^2+y^2)^{3/2}}]i+[\frac{x}{\sqrt{x^2+y^2}}-\frac{y^2x}{(x^2+y^2)^{3/2}}]j. I understand that the inequality is merely the length of the gradient vector...
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    Question involving gradient

    Homework Statement Hello all, I encountered this practice problem for my midterm tomorrow involving the gradient operation. Let (r, θ) denote the polar coordinates and (x, y) denote the cartesian coordinates of a point P in the plane. A function is defined via f(P)=xsinθ away from the origin...
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    Zener Diode Analysis

    Just looked at another question off the midterm. I think it's safe to say that he is assuming Vz=Vzo. I guess he's not too worried about accuracey. The other question I saw stated the following: Assume ideal op amps are used. Using a zener diode with a breakdown voltage of 5.6 V, design the...
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    Zener Diode Analysis

    That formula is in my textbook. It is NOT provided with the question, nor is the incremental resistance. ^^^^^^^^^^^ that is the screen shot of the question if you have any doubts.
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    Bridge rectifier (conceptual)

    If it is as you described, then I would agree with you in that the maximum current through the load is 2A. If the maximum current through the resistor was 4 A, then that 4 A would first pass through the diode which is supposed to have a maximum current of 2 A through it.
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    Zener Diode Analysis

    Cooincidentally he is out of town until next week. He posted the midterm examination just before he left. He has a sub in for us tomorrow when we write out exam.
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    At what age can you tell if you're good at math?

    ..... Yes, the results of a math test given to you in grade school governs your math capabilities for eternity.
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    Zener Diode Analysis

    Unfortunately not. He posted the exam for students to practice, but with no solutions. Which is essentially useless, hence why I came here in hopes someone could perhaps ensure that I was interpreting his wording correctly, as it is not the same used in my textbook.
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    Zener Diode Analysis

    Anyways, if the question is indeed as you stated, then I think it is rather simple. The current going through the zener diode will remain at 100uA, and the voltage across it and the load resistor will be 3.8V. Thus I can determine the current through the load resistor as follows...
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    Zener Diode Analysis

    @rude_man, there is no model number. That equation I provided is the equation provided by my textbook. Also, the question is word for word from a midterm that my professor gave us from last year to study. There's no additionally information. @Berkeman, normally when Vz is specified at that...
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