It can be shown that e s = lim n → ∞ ( 1 + s n ) n for any real number s . Illustrate this equation graphically for s = 2 by graphing y 1 = ( 1 + 2 / n ) n y 2 = 7.389 056 099 ≈ e 2 in the same viewing window, for 1 ≤ n ≤ 50.
It can be shown that e s = lim n → ∞ ( 1 + s n ) n for any real number s . Illustrate this equation graphically for s = 2 by graphing y 1 = ( 1 + 2 / n ) n y 2 = 7.389 056 099 ≈ e 2 in the same viewing window, for 1 ≤ n ≤ 50.
Solution Summary: The author illustrates the function es=undersetnto 'infty' mathrmlim(1+2
Show that the Laplace equation in Cartesian coordinates:
J²u
J²u
+
= 0
მx2 Jy2
can be reduced to the following form in cylindrical polar coordinates:
湯(
ди
1 8²u
+
Or 7,2 მ)2
= 0.
Draw the following graph on the interval
πT
5π
< x <
x≤
2
2
y = 2 cos(3(x-77)) +3
6+
5
4-
3
2
1
/2 -π/3 -π/6
Clear All Draw:
/6 π/3 π/2 2/3 5/6 x 7/6 4/3 3/2 5/311/6 2 13/67/3 5
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Determine the moment about the origin O of the force F4i-3j+5k that acts at a Point A. Assume that the position vector of A is (a) r =2i+3j-4k, (b) r=-8i+6j-10k, (c) r=8i-6j+5k
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