Recent content by spaniks

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    What Happens to Radiation on an Opaque Surface?

    Homework Statement When radiation strikes an opaque surface part of it is: a) absorbed, b) reflected, c) transmitted, d) all of the above, e) a and b, f) b and c, g) a and c Homework Equations The Attempt at a Solution I believe that it would be absorbed and reflected but not...
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    How to Evaluate the Integral of x^2e^(-x^2) Using the Integral of e^(-x^2)

    Homework Statement Use the fact that the integral evaluated from -∞ to +∞ of e^(-x^2) is sqrt(∏) to evaluate the integral from -∞ to +∞ of x^2(e^(-x^2)). Homework Equations The Attempt at a Solution I tried using integration by parts and I came down to an indefinite integral of...
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    Using comparison theorem to show if an integral is convergent or divergent

    Homework Statement use the comparison theorem to show that the integral of e^(-x^2) from 0 to infinity is convergent.Homework Equations None The Attempt at a Solution In class we have never dealt with using the comparison theorem with the exponential function so I was not sure what I function...
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    Volume of a triangular based solid

    so if I solved y=-2x+2 for x which would be x=-1/2y+1 it would give me the length of one of the squares and then if I squared it and took the integral I could find the volume?
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    Volume of a triangular based solid

    Homework Statement the base of a solid is the triangular region bounded by the line x=0 (on the y-axis), the line y = 0 (the x-axis), and the line y = −2x + 2. Cross-sections perpendicular to the y-axis are squares. Find the volume of S. Homework Equations The Attempt at a Solution...
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