Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Perform the same computation as in Sec. 24.3, but for the current as specified by i ( t ) = 5 e − 1.25 t sin 2 π t for 0 ≤ t ≤ T / 2 i ( t ) = 0 for T / 2 < t ≤ T Where T = 1 s. Use five-point Gauss quadrature to estimate the integral.
Solution Summary: The author explains how to calculate the root mean-square current of the given expression by numerical method.
Perform the same computation as in Sec. 24.3, but for the current as specified by
i
(
t
)
=
5
e
−
1.25
t
sin 2
π
t
for
0
≤
t
≤
T
/
2
i
(
t
)
=
0
for
T
/
2
<
t
≤
T
Where
T
=
1
s. Use five-point Gauss quadrature to estimate the integral.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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11 if the mechanism is given, then
using
Newton's posterior
formula
for
the derivative
Lind
P(0.9)
×
0
0.2
0.4
0.6
0.8
1
f
0
0.12 0.48 1.1
2
3.2
a) prove that if (x) is increasing then (x~)
is bounded below
and
prove if (is decrasing then (xn) is
bounded above-
6) If Xn is bounded and monotone then (Xa) is
Convergent. In particular.
i) if (xn) is bounded above and incrasing then
lim xn = sups xn: ne№3
n700
ii) if (X) is bounded below and decrasing then
I'm Xn = inf\x₂,neN}
4500
143
At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?
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