Scenario You are assigned a role as a mechanical engineer for a vehicle design manufacturing company. Your department has a software to perform numerical differentiation and integration. To be able to verify the results of using the software and validate these results, your department manager has asked you to analytically perform some tasks to validate the results generated by the software.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Scenario
You are assigned a role as a mechanical engineer for a vehicle design manufacturing company. Your
department has a software to perform numerical differentiation and integration. To be able to verify the
results of using the software and validate these results, your department manager has asked you to
analytically perform some tasks to validate the results generated by the software.
Q: is the last two digits of your student Id number. If your number is (20110092) then Q=92.
P: is the last digit of your student Id Number. If your number is (20110092) then P=2,
If that digit equals zero then use P=1. Example: If your number is (20110040) then P=1.
Task 1
Determine the gradient of following functions at the given points:
a) x(t) = (2t7 + P t-2)² + (6vi – 5) when t = 1
5s+7
b) v(s) =
when s = 3
(s²-P)2
c) i(t) = 5(1 – In(2t – 1) )
when t= 1 sec.
d) V(t) =5sin(100nt + 0.2) Volts , find i(t) = 10 × x10-6 dV©)
Ampere when t= 1ms.
dt
e) y(t) = e¬(t-n) sin(Qt + P)
when t = n radian
f) x(t) = In(t + P) cos Qt²
when t = 1 radian
Transcribed Image Text:Scenario You are assigned a role as a mechanical engineer for a vehicle design manufacturing company. Your department has a software to perform numerical differentiation and integration. To be able to verify the results of using the software and validate these results, your department manager has asked you to analytically perform some tasks to validate the results generated by the software. Q: is the last two digits of your student Id number. If your number is (20110092) then Q=92. P: is the last digit of your student Id Number. If your number is (20110092) then P=2, If that digit equals zero then use P=1. Example: If your number is (20110040) then P=1. Task 1 Determine the gradient of following functions at the given points: a) x(t) = (2t7 + P t-2)² + (6vi – 5) when t = 1 5s+7 b) v(s) = when s = 3 (s²-P)2 c) i(t) = 5(1 – In(2t – 1) ) when t= 1 sec. d) V(t) =5sin(100nt + 0.2) Volts , find i(t) = 10 × x10-6 dV©) Ampere when t= 1ms. dt e) y(t) = e¬(t-n) sin(Qt + P) when t = n radian f) x(t) = In(t + P) cos Qt² when t = 1 radian
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