Recent content by crims0ned

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    Engineering Careers in materials science & engineering

    I am a mechanical engineering major that has been working in the fire protection industry and going to school in the evening for about two years. My ultimate goal when I decided to go back to college was to become a licensed professional engineer as fast as possible. But last summer the...
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    Setting a tangent plane parallel to another plane-Cal III

    Yeah I think I got it now, I set the gradient equal to the normal of that other plane. \nabla f \left(x_0,y_0,z_0\right)= u=<1,2,3> then I set the partials equal to that normal and I get f_x=2x_0; f_y=-1; f_z=2z_0 so... \nabla f \left<2x_0,-1,2z_0\right>=<1,2,3> then my only problem is my...
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    Derivatives& the Slope of the Graph: Inflection Point

    Isn't the definition of a critical point a point on f(x) that occurs at x0 if and only if either f '(x0) is zero or the derivative doesn't exist at that point?
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    Derivatives& the Slope of the Graph: Inflection Point

    You're right it shouldn't be an inflection point because the original functions tangent line doesn't at x=2, but possibly it's asking for all critical points on the second derivative? Is this some kind of online homework program?
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    Derivatives& the Slope of the Graph: Inflection Point

    okay, so we have f(x)=\frac{(x^2-3)}{(x-2)} and f''(x)=\frac{2(x-2)}{(x-2)^4} Even though x=2 is a vertical asymptote it is still a critical point on the second derivative
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    Derivatives& the Slope of the Graph: Inflection Point

    f(x)=(x^2-3)(x-2) is a polynomial and therefore it's domain should be all real number and this should carry on to it's derivatives as well. f(x)=(x^2-3)(x-2) = x^3-2x^2-3x+6 right? So there shouldn't be a quotient at all.
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    Derivatives& the Slope of the Graph: Inflection Point

    Your function is f(x)=(x^2-3)(x-2) right? Maybe if you foil it out first before you take the derivative?
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    Setting a tangent plane parallel to another plane-Cal III

    At what point on the paraboloid y=x^2+z^2 is the tangent plane parallel to the plane x+2y+3z=1 ? Tangent plane equation is... Fx(X,Y,Z,)(x-X)+Fy(X,Y,Z)(y-Y)+Fz(X,Y,Z)(z-Z)=0; for x^2+z^2-y=0 My attempt at the problem... First I found the unit normal for the plane I'm trying to...
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    Thermodynamics Conceptual Question

    Maybe the rate of change in the kinetic energies of the inlets and outlet per minute or second? K.E. = \frac{1}{2}mv^2
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    Cal III S reparametrization problem

    once i got to \int_{-1}^{t-1} \sqrt{u^2+1}du i trig subbed and got \int sec^3(\theta) d\theta but can i change the limits along with the variable and still solve for s ?
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    Cal III S reparametrization problem

    there seems to be only an i and j component
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    Cal III S reparametrization problem

    the original problem is r(t)=<cos(t)-tcos(t), sin(t)-tsin(t)> ; t=o
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    Cal III S reparametrization problem

    Yes, that's it, just the magnitude of dr/dt. Are you familiar with these types of problems? Because all of the ones I've worked pier to this and everything in my calculus book always out really clean.
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    Cal III S reparametrization problem

    the equation is this s= \int \sqrt{(dx/dt)^2+(dy/dt)^2+(dz/dt)^2} dt evaluated from some starting t to t
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    Cal III S reparametrization problem

    we've been using s reparametrizations just as kind of random parametrization i guess. pretty much it seems to be finding the arc-length and evaluating it from some number (t sub not) to an indefinite t. And what ever we come up with we then solve for t is terms of s and substitute it back into...
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