# Operational Transforms MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Operational Transforms”.

1. The Laplace transform of f1 (t) + f2 (t) is?
a) F1(s) + F2(s)
b) F1(s) – F2(s)
c) F1(s) – 2F2(s)
d) F1(s) + 2F2(s)

2. Find the Laplace transform of the function f (t) = 4t3 + t2 – 6t + 7.
a) 24/s4 + 2/s3 + 6/s2 + 7/s
b) 24/s4 – 2/s3 – 6/s2 + 7/s
c) 24/s4 + 2/s3 – 6/s2 + 7/s
d) 24/s4 – 2/s3 + 6/s2 + 7/s

3. The Laplace transform of kf(t) is?
a) F(s)
b) kF(s)
c) F(s)/k
d) k2 F(s)

4. Find the Laplace transform of the function f(t) = cos2t.
a) (2s2+4)/2s(s2-4)
b) (2s2-4)/2s(s2-4)
c) (2s2-4)/2s(s2+4)
d) (2s2+4)/2s(s2+4)

5. Find the Laplace transform of eatsinbt.
a) b/((s-a)2+b2)
b) b/((s+a)2+b2)
c) b/((s+a)2-b2)
d) b/((s-a)2-b2)

6. Find the Laplace transform of ramp function r (t) = t.
a) 1/s
b) 1/s2
c) 1/s3
d) 1/s4

7. Find the Laplace transform of the function f (t) = 3t4 – 2t3 + 4e-3t – 2sin5t + 3cos2t.
a) 72/s5 – 12/s4 + 4/(s+3)+10/(s2+25)+3s/(s2+4)
b) 72/s5 – 12/s4 + 4/(s+3)-10/(s2+25)+3s/(s2+4)
c) 72/s5 – 12/s4 – 4/(s+3)+10/(s2+25)+3s/(s2+4)
d) 72/s5 – 12/s4 – 4/(s+3)-10/(s2+25)+3s/(s2+4)

8. Find the Laplace transform of (t + 2)2 et.
a) 2/(s-1)3 – 2/(s-1)2 + 4/(s-1)
b) 2/(s-1)3 – 2/(s-1)2 – 4/(s-1)
c) 2/(s-1)3 + 2/(s-1)2 + 4/(s-1)
d) 2/(s-1)3 + 2/(s-1)2 – 4/(s-1)

9.Find the Laplace transform of the function f (t) = tsin2t.
a) 4s/(s2+4)2
b) -4s/(s2+4)2
c) -4s/(s2-4)2
d) 4s/(s2-4)2

10.If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].
a) 1/s(1+e(-as))
b) 1/s(1-e(-as))
c) 1/s(1+eas)
d) 1/s(1-eas)

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