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.
4. SET A. Evaluate di/dt, correct to 4 significant figure, when t 0.1 and I = 15t sin 3t.
An Alternating current "i" at any time t is given by i = sin
3t.Find the RMS Value of the current over the range t = 0 to
t=
3
H(t) = A sin(Bt) + C models the height (in meters) of the tide in Happy Harbor at time t (hours since midnight) in a day. Determine A, B, and C if the high tide of 18 m occurs at 6:00 AM and the subsequent low tide of 15 m occurs at 6:00 PM.
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