Determine the integral 1 = [ e*x*dx (h) The loop equations for an electric circuit are given by the system: 71, +1, = 25 51, - 1, =11 [a] Write the system in matrix form; and (b) solve it using the Inverse Matrix method. (i) Given the two matrices A and B as 3 2 3 [2 4 3 15 2 B =| 5 7 1 2 3 2 Calculate (AB). () The capacitor, C, in the circuit of Figure Q1(k) is charged to a voltage E (V). At time t=0, the switch is closed to discharge C through the resistor R. The variation of the current i(t) with time is modelled by the initial value problem. di i(t) i(0) = E / R for t >0 dt RC' Solve this initail value problem.
Determine the integral 1 = [ e*x*dx (h) The loop equations for an electric circuit are given by the system: 71, +1, = 25 51, - 1, =11 [a] Write the system in matrix form; and (b) solve it using the Inverse Matrix method. (i) Given the two matrices A and B as 3 2 3 [2 4 3 15 2 B =| 5 7 1 2 3 2 Calculate (AB). () The capacitor, C, in the circuit of Figure Q1(k) is charged to a voltage E (V). At time t=0, the switch is closed to discharge C through the resistor R. The variation of the current i(t) with time is modelled by the initial value problem. di i(t) i(0) = E / R for t >0 dt RC' Solve this initail value problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i need help with h-j not the whole question
![Q1
(a)
Given the following three complex number:
Z1=2+ j6, Z2=6- j3, and V = 30+ j40 V
V
If I =
(Zl+Z2)
Determine I in rectangular form.
(b) In the triangle ABC, angle ABC is 30 degrees and the lengths AB=8 cm
and BC=10 cm. Determine the length of AC.
sin x
Given that f(x)=-
cos x
d
(f(x)) =1+tan²x
dx
(c)
show that
dy
Given that y =e* sin(3x) determine
dx
(d)
(e)
4
- dx
Determine the integral 3x+6)
(f)
Evaluate the integral I =-
1
| 10cos(ot)d(at)
o=0
(g)
Determine the integral I =
(h)
The loop equations for an electric circuit are given by the system:
71, +1, = 25
51, - 1, =11
[a] Write the system in matrix form; and
[b] solve it using the Inverse Matrix method.
(i)
Given the two matrices A and B as
[3 2 3
[2 4 3
A =
15 2
B = 5
7 1
| 2 3 2
Calculate (AB).
()
The capacitor, C, in the circuit of Figure Q1(k) is charged to a voltage
E (V). At time t=0, the switch is closed to discharge C through the
resistor
The variation of the current i(t) with time is modelled by
the initial value problem.
di
i(t)
i(0) = E/R for t>0
RC
%3D
dt
Solve this initail value problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28f1de28-f33c-44cd-bbc0-4b826b3402a2%2F9a7ae322-e58d-495d-b65d-1daeeda08363%2Fm1fyr1cf_processed.png&w=3840&q=75)
Transcribed Image Text:Q1
(a)
Given the following three complex number:
Z1=2+ j6, Z2=6- j3, and V = 30+ j40 V
V
If I =
(Zl+Z2)
Determine I in rectangular form.
(b) In the triangle ABC, angle ABC is 30 degrees and the lengths AB=8 cm
and BC=10 cm. Determine the length of AC.
sin x
Given that f(x)=-
cos x
d
(f(x)) =1+tan²x
dx
(c)
show that
dy
Given that y =e* sin(3x) determine
dx
(d)
(e)
4
- dx
Determine the integral 3x+6)
(f)
Evaluate the integral I =-
1
| 10cos(ot)d(at)
o=0
(g)
Determine the integral I =
(h)
The loop equations for an electric circuit are given by the system:
71, +1, = 25
51, - 1, =11
[a] Write the system in matrix form; and
[b] solve it using the Inverse Matrix method.
(i)
Given the two matrices A and B as
[3 2 3
[2 4 3
A =
15 2
B = 5
7 1
| 2 3 2
Calculate (AB).
()
The capacitor, C, in the circuit of Figure Q1(k) is charged to a voltage
E (V). At time t=0, the switch is closed to discharge C through the
resistor
The variation of the current i(t) with time is modelled by
the initial value problem.
di
i(t)
i(0) = E/R for t>0
RC
%3D
dt
Solve this initail value problem.
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