Recent content by s7b

  1. S

    Calculating Heat: How to Apply Calculus for Accurate Results

    This makes more sense then my attempt. Thanks :)
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    Calculating Heat: How to Apply Calculus for Accurate Results

    I'm doing some sample problems to prepare for midterm and am stuck on this: The question talked about many materials at low temperatures obeying Debye's Law C=A(t/θ)^3 it said that for a diamond θ is 1860K and asked to evaluate the specific heats at 20K and 100K. For this I just used...
  3. S

    Calculating Final Pressure in Isochoric Thermo Process

    I'm trying to calculate the final pressure. I was given initial and final temperatures as well as initial pressure, expansitivy and isothermal bulk modulus. I was also told the volume is constant. Since volume is constant I figured dV=0 so in the formula dV=VβdT - VKdP it reduces to...
  4. S

    How do I solve for dP in this integral equation?

    How are you supposed to solve something like that not knowing what C is though?
  5. S

    How do I solve for dP in this integral equation?

    Its been a while since I took calculus so I'm confused as how to solve this. I've gotten my equation simplified as far as BdT=KdP and I'm supposed to solve for dP I do it and end up with B(T2-T1) = K(P2-P1) but this is giving me the wrong answer when I put the values in... What...
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    Thermodynamics - isochoric situation

    I'm trying to calculate the final pressure. I was given initial and final temperatures as well as initial pressure, expansitivy and isothermal bulk modulus. I was also told the volume is constant. Since volume is constant I figured dV=0 so in the formula dV=VβdT - VKdP it reduces to...
  7. S

    Geophysics: Calculating Inner Core Radius

    I have a question about some geophysics... When we want to calculate the radius of an inner core how do you do it. If I were to be given the radius of the whole planet as well as density and the velocity of the Pwave, where do I begin to solve. Also let's say the angular distances where...
  8. S

    Integration over a Region in the First Quadrant without a Prefix.

    Hi, I was just wondering if the set up for this problem; integrate f(s,t)=e^slnt over the region in the first quadrant of the st-plane that lies above the curve s=lnt from t=1 to t=2 is: integral(t=1 to t=2)integral(s=ln1 to s=ln2) of e^slnt If that's not the right set up what am I...
  9. S

    Reversing the order of integration

    I get that but don't you have to change the limits of integration when you reverse the order of integration?
  10. S

    Reversing the order of integration

    Well I didn't know. I also don't get how to draw the pictures.
  11. S

    Reversing the order of integration

    Hi, I want to reverse the order of this integration; integral(from x=0 to x=3) integral(from y=sqrt(x/3) to y=1) of e^(y^3) dy dx How do I change the limits of integration?
  12. S

    What Are the Key Factors in Solving Mechanical Vibration Problems?

    Hi, I don't understand how to go about solving a problem like this; A weight stretches a spring 3 inches. It is set in motion at a point 4 inches below it's equilibrium point with zero velocity. -Find the maximum amplitude -When does it reach (the first time) it's highest point -Find...
  13. S

    How do you solve a differential equation using undetermined coefficients?

    Once you substitute back into the original DE Do you get: 8Ax^2e^2x + 2Ae^2x = 2e^2x
  14. S

    How do you solve a differential equation using undetermined coefficients?

    How do I go about solving a DE using the method of undetermined coeficients in a question like for example; y''-4y'+4y=2e^2x I tried assuming the yp to be Ae^2x but when I plugged it into the DE I ended up with 0=2e^2x ??
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    Method of Variation of parameters

    Hi, When using the method of variation of parameters to solve something like; y'' + y' = 2^x I got the aux. equation: r^2 - r =0 which gives the roots r=0,1 How do I find the complementary equation yc?
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