Recent content by dami

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    How far apart are these graduations?

    Is this correct? 1. Find the height of a cylinder whose radius is 2 cm and whose volume is 1.00 cm^3. V = pi*r^2*h h = V/(pi*r^2) = 1/ h = 0.0796 cm The graduations would be 0.0796 cm apart 2. Find the height of a cylinder of radius 2 which has a volume equal to that of the sphere...
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    How far apart are these graduations?

    A certain graduated cylinder has an inside diameter of 4cm. The graduations on its side are labeled "cc" (cubic centimeters). 1. How far apart are these graduations? 2. The cylinder is partially filled with water, and a solid sphere of radius 1.2 cm is then totally submerged therein...
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    How can you test if a crown is pure gold without damaging it?

    Homework Statement Once upon a time the famous archimedes was given a problem to determine if a crown supposedly made of pure gold actually contained some silver. If Archimedes was your lab partner, explain how the two of you could quickly determine if the crown were gold or not without...
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    Undergrad Why does average deviation require absolute values instead of summing raw deviations?

    It is said that mean deviation does not take into account algebraic signs of deviations. What if we take into account the algebraic signs of the deviations. Will there be any difference. Which will be more accurate and why does the mean deviation use the absolute values of the deviations, why...
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    Undergrad Why does average deviation require absolute values instead of summing raw deviations?

    I got -0.0005 when I tried calculating it with these set of deviations: .003, .005, -.005, -.009, -.011, .015, .000, -.011, -.009, -.001, .001, .016, -.005, -.020, -.002, .019, .001, .009, .006, .001. With a mean of .760.
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    Undergrad Why does average deviation require absolute values instead of summing raw deviations?

    Usually when solving for the average deviation, we have to sum up the ABSOLUTE values of individual deviations. What happens when we simply summed the individual deviations (negative and positive) for a large set of measurements.
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    Why does the direct comparison test work when Ln n < n^(1/10) is false for many n?

    Thanks. Just realized I have been looking at the question the wrong way
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    Why does the direct comparison test work when Ln n < n^(1/10) is false for many n?

    Actually, ln n < n^{1/10} is only true for n < 3 (for integer values of n).
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    Why does the direct comparison test work when Ln n < n^(1/10) is false for many n?

    Homework Statement Explain why the Direct Comparison Test allows us to use the inequality Ln n < n^(1/10) even though it is not true for a great many n values. Homework Equations The Attempt at a Solution I looked at the graphs of Ln (n) vs. n^(k)
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    Why does ∫₀¹ dx/√x equal ∫₁^∞ dx/x² plus 1?

    Yeah, finally solve it. I used the inverses and reflection of the two graphs at x=y.
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    Integral (1/x^n): Convergence/Divergence Rules

    Homework Statement give a general rule for when Integral (1/x^n) from (x, 0, a), a>0 converges or diverges. Homework Equations The Attempt at a Solution I have checked the textbooks for this answer but i can't seem to find it. The closest i got was Integral (1/x^n) from (x, 1...
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    What Is the Correct Approach to Approximate 1.58800 - (1.5402 sqrt(-1))?

    Approximate 1.58800 - (1.5402 sqrt(-1))