Recent content by OpheliaM

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    Undergrad Standard Deviation Versus Sample Size & T-Distribution

    I don't understand why does the standard deviation of a t-Distribution decreases as the degree of freedom (and, thus, also the sample size) increases when the sample standard deviation underestimates the population standard deviation?
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    Finding the Line of Intersection for Two Cylinders

    Thanks!
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    Finding the Line of Intersection for Two Cylinders

    Thank you for your help. However, I am having trouble understanding specificiallg why am I unable to equate those two equationsin your post. Why can i not disregard x? Does it have to do with the +- signs? If so, specifically where were they disregarded?
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    Finding the Line of Intersection for Two Cylinders

    That makes sense. What is the specific restrixrion I ignored with y=z?
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    Finding the Line of Intersection for Two Cylinders

    Specifically, I am looking for the “boundary of the region common to the cylinders x^2+y^2<1 and x^2+z^2<1 in the first octant”. Can you explain the restriction further?
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    Finding the Line of Intersection for Two Cylinders

    @SammyS Could you explain further?
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    Finding the Line of Intersection for Two Cylinders

    Homework Statement I am looking for the line of intersection of two cylinders (x^2+y^=1 and x^2+z^2=1) to find the curve for a line integral. However, I am getting z=y, which is a patently false answer. Mathematically, it seems to work out though. Homework Equations x^2+y^=1 x^2+z^2=1 The...