lukas-blecher
commented
1 year ago Can you try again with the --no-skipping flag. It should produce the output below. It's a known bug with some devices (#11)
Note that this will lead to unusable outputs in some cases.
the center, the axis of \(x\) horizontal and the axis of \(y\) positive downward. The element of pressure is
\[2kyx\,dy\]
and the total pressure is
\[P\,=\,2k\!\int_{0}^{6}yx\,dy.\]
\(x\) is expressed in terms of \(y\) by means of the equation of the ellipse,
\[\frac{x^{2}}{64}+\frac{y^{2}}{36}=1.\]
Then
\[P\,=\,2k\,\frac{4}{3}\!\int_{0}^{6}\!y\sqrt{36\,-y^{2}}\,dy.\]
**Exercises**
**1.** Find the pressure on the vertical parabolic gate, Fig. 51: \((a)\) if the edge \(AB\) lies in the surface of the water; \((b)\) if the edge \(AB\) lies 5 feet below the surface.
**2.** Find the pressure on a vertical semicircular gate whose diameter, 10 feet long, lies in the surface of the water.
**73.** Arithmetic Mean.** The arithmetic mean, \(A\), of a series of \(n\) numbers, \(a_{1}\), \(a_{2}\), \(a_{3}\), \(\cdot\cdot\cdot\), \(a_{n}\), is defined by the equation
\[nA\,=\,a_{1}+a_{2}+a_{3}+\cdot\cdot\cdot\cdot\cdot\cdot+a_{n}.\]
or
\[A\,=\,\frac{a_{1}+a_{2}+a_{3}+\cdot\cdot\cdot\cdot+a_{n}}{n}.\]
That is, \(A\) is such a number that if each number in the sum
I tried some PDFs even the one on the website calculus00marciala_0136.pdf but it always show the same error : [MISSING_PAGE_EMPTY:1]