Recent content by Outlaw747

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    What is the Integral with e^x in it?

    Thanks a lot guys.
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    What is the Integral with e^x in it?

    Homework Statement \int\frac{1+e^{x}}{1-e^{x}} dxHomework Equations .The Attempt at a Solution I've tried substituting for u=e^x or u=1-e^x but I can't seem to get anywhere. Haven't done calc in a while and just want someone to point me in the right direction. Thanks.
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    DE equation modeling growth off a tan function

    K I'll try that, thanks.
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    DE equation modeling growth off a tan function

    Homework Statement Data suggests rate of growth of bacteria is proportional to the tangent function evaluated on the amount of bacteria present at time t, up to 1.5 mg. After 1.5 mg, value maintained. pi/6 to pi/3 mg growth in 1 hour. How would I write a DE equation based on this? I'm not...
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    First Order Differential Equation for Mixture Problem

    Nevermind, got it using integration factor.
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    First Order Differential Equation for Mixture Problem

    Homework Statement \frac{dA}{dt}=\frac{5}{3} - \frac{4A}{150+2.5t} lb/min so basically dA/dt = rate in - rate out Homework Equations This is basically a mixture problem. There is 10 gals/min going in and 4gals/min going out. Tank starts at 150/300 gallons with 1/4 lb/gal mixture. 5gal/min are...
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    Struggling with Integrating a First Order DE: How to Proceed?

    When you the complete the square do you add 1/(1/4) for completing the square in the bottom as (y+1/2)^2 so add 4 to the right?
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    Struggling with Integrating a First Order DE: How to Proceed?

    Homework Statement Solve the following DE: (6x^{4}+x^{3}+10x^{2}+2x-4)yy' = (y^{2}+y+2)(12x^{4}+2x^{3}+20x^{2}+6x-7) Homework Equations All we really know technique wise is separation of variables then integrate. Basically this is the first week of DE class. The Attempt at a...
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    Need help setting up triple integral in spherical coordinates

    Yup. Sphere is x^2 + y^2 + z^2 = 16. So with the limits for the three variables and dV converted I am good to integrate?
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    Need help setting up triple integral in spherical coordinates

    Homework Statement Use spherical coordinates to find the volume of the solid bounded above by the sphere with radius 4 and below by the cone z=(x^2 + y^2)^(1/2).Homework Equations All general spherical conversions Cone should be \phi=\pi/4The Attempt at a Solution So far I think the triple...