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.
Remix
4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves
to each of the given initial value problems.
(a)
x = x+2y
1111
y = -3x+y
with x(0) = 1, y(0) = -1
(b) Consider the initial value problem corresponding to the given phase portrait.
x = y
y' = 3x + 2y
Draw two "straight line solutions"
passing through (0,0)
(c) Make guesses for the equations of the straight line solutions: y = ax.
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