10[cos () sin E) + sin () cos ()] cot) o[cos (=) sin (2)- E) cot) 1. x(0.2)° – 20.6 = 10|cos 2. log,(x + 12) = 2 3. e-(x²+4x-10) = e-2 correct to 4 significant figures.
10[cos () sin E) + sin () cos ()] cot) o[cos (=) sin (2)- E) cot) 1. x(0.2)° – 20.6 = 10|cos 2. log,(x + 12) = 2 3. e-(x²+4x-10) = e-2 correct to 4 significant figures.
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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Question
Using the laws of logarithms and exponentials solve the voltage equations across a battery
Transcribed Image Text:1. x(0.2)° –
20.6 = 10 cos () sin () + sin(
) cos () cot)
со
2. log,(x + 12) = 2
3. е - (x*+4х-10) — е-2
correct to 4 significant figures.
b) Simplify the following equation using positive indices only
3 3(3x+2)4(2x+0.5)
2(2x-5)9(2x-2)
c) The current follows in a charging inductor I(t) at time t seconds is given by:
i(t) = I,(1 – e i) mA
Where I, is the supply current and t= 30.
1. Evaluate the following
i.
The current flows in the inductor up to 3 significant figures after 24 seconds
if the supply current I, = 75 mA
The time t to 3 significant figures taken for current flows in the inductor to reach 40
mA if the supply current I, remains at 75 mA.
ii.
2. Find an equation for the energy and evaluate it when L= 10 mH.
Transcribed Image Text:d) The generated voltage of a turbine at time t seconds is given by:
v(t) = V3sin(0.4t +-)
Where Vs is generator voltage in Volts.
Evaluate the following:
The voltage of the generator after 2.5 seconds if Vs = 70 V.
The voltage at time t = 0 seconds to 3 significant figures
The time when the generator first reaches maximum voltage, the period, the
frequency, and the time displacement.
iii.
iv.
V.
Your answer to this part of the task should be supported by suitably annotated graphical
evidence to help understanding by a non-technical audience.
e) If the cable of this generator has a shape of the form:
у %3D 70сosh(x/55)sinh? (
m.
Provide fully explained solutions to the following:
The value of y when x = 10 to 3 significant figures
The value of x when y = 40 to 3 significant figures
Provide fully explained graphical evidence to show justify your answers to part (ii)
vi.
vii.
viii.
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