Recent content by sdoyle1

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    The Wronskian and the Derivative of the Wronskian

    I'm a bit confused regarding the linear combination. Would it just be C1V1+C2V2=0? I'm not sure what this would accomplish... other than c1v1=-C2V2...
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    The Wronskian and the Derivative of the Wronskian

    Homework Statement y1(t) and y2(t), 2 solutions of the equation: y'' +ay'+by=0, with a,b εℝ - {0} a) Determine: d/dt w(y1,y2) where w(y1,y2) is the wronskian of y1(t) and y2(t) b) Deduce that if (y1(0),y1'(0)^T and (y2(0), y2'(0))^T are 2 linearly independent vectors. Then y1(t)...
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    Second partial derivative of v=e^(x*e^y)

    Ok then Vyy= xe^((xe^y)+y) * (x(e^y) +1) Then Vxy= e^((xe^y)+y) * ((xe^y)+1) and Vyx is the same as Vxy As an aside, how would I integrate t(t-1)^1/2 ?
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    Second partial derivative of v=e^(x*e^y)

    Wait, you would add the exponents, not multiply them. So Vx= e^((xe^y)+y) Vxx= e^(xe^y+y) * (e^y)
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    Second partial derivative of v=e^(x*e^y)

    Vxx would be the second derivative with respect to x but keeping y as a constant. This is where I get confused. Would it be: Vxx=e^(xye^y)(ye^y) = e^(xy^2e^y)
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    Second partial derivative of v=e^(x*e^y)

    Would Vy= e^(x*e^y) * (xe^y)
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    Second partial derivative of v=e^(x*e^y)

    Homework Statement Find the second partial derivative of v=e^(x*e^y) Homework Equations I know that I need to find Vx and Vy first and then the second partial derivative would be Vxx, Vyy, Vxy. The Attempt at a Solution I'm really confused on how to find Vx or Vy Vx= the...
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    What are False Priming Sites in PCR Reactions?

    Homework Statement I am reading an article on PCR reactions and I keep coming across the term "False Priming Sites'. I've googled the term and look it up in my textbooks, but can't find a good definition. Can someone please help? Homework Equations The Attempt at a Solution
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    Calculating momentum before and after a collision

    Ok, I have figured out part a. How would it change if the bumpers stick together? Would the mass be the 3200 kg? How about the velocity? Would it just be the total momentum divided by the total weight?
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    Calculating momentum before and after a collision

    so would part a) just be a sum of both momentums? Or would I add the masses to get a total mass and multiply it by the total velocity (for both the truck and the car)?
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    Calculating momentum before and after a collision

    Homework Statement A 1200 kg car traveling north at 14 m/s is rear-ended by a 2000 kg truck traveling at 25 m/s. a) What is the total momentum before and after the collision? b)If the car and truck lock bumpers and stick together, what is their speed immediately after the collision? c) If...
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    What Are the Genetic Consequences of Sordaria Fimicola Being Haploid?

    Homework Statement What are some genetic consequences to Sordaria of spending most of its life in a haploid state? Homework Equations The Attempt at a Solution I think that one of the consequences has to do with the limitations of mutations occurring ( they only have one allele...
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    Physical Chemistry- Maxwell Boltzmann Distribution

    Homework Statement Use the maxwell Boltzmann distribution to derive an expression for <v^3> Homework Equations <v>=(8RT/piM)^1/2 The Attempt at a Solution I know that you have to integrate from 0 to infinity v^3p(v)dv.. but I don't really know how to integrate this. I just need to...
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    Finding Perimeter/Circumference of part of a circle

    Homework Statement The inner radius is measured from a point A and is 2.9 m. The outer radius is measured from the same point A and is 6.5 m. The angle at A is 110*. What is the Perimeter of the shaded area in meters? What is the area of the shaded are in square meters? Homework...
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    Hess's Law Problem: Finding Enthalpy of Vaporization for H2O

    Are you sure that everything wasn't suppose to be halved?