You are assigned a role as a mechanical engineer for a vehicle design manufacturing company

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 (18120065) then Q=65.
P=5
Task 1
Determine the gradient of following functions at the given points:
(t) = (2t7 + Pt-2)² + (6vT – 5) a)
when t = 1
5s+7
(s)
b) v
(s2-P)2
when s = 3
с) i(t) 3D 5(1 — In (2t – 1)) _
when t= 1 sec.
d) V(t) =5sin (100nt + 0.2) Volts, find i(t) = 10 × 10-6 aV(t) Ampere when t =
ns.
dt
e) y(t) = e-(–r) sin (Qt + P)_ when t = n radian
f) x(t) = In (t+ P) cos Qt2
when t = 1 radian

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