dy Given that y=e* sin(3x) determine dx 4 Determine the integral (3x+6) et= Evaluate the integral I 1 - [ 10cos(@x)d(@) Determine the integral I = [e'x'dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

i need help with d-g 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.
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.
Expert Solution
steps

Step by step

Solved in 8 steps with 8 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,