General Questions Set 5:
What is the z-transform of kn?
Solution:
The magnitude of the vector V = 2i + 5j - 6k is ___________.
Solution:
Which of the following physical quantities is a scalar?
Solution:
The conjugate of a complex number z is 1/i-1. Then, the complex number z is
Solution:
Find the Laplace transform of t cos(at)
Solution:
What is the condition for a family of curves to be self-orthogonal?
Solution:
Find the value of c where the function f(x) = sin(x) e^x tan(x), with c ∈ (0,∞).
Solution:
The standard deviation of spot speed of vehicles on a highway is 8.8 km/h and the mean speed of the vehicles is 33 km/h. What is the coefficient of variation in speed?
Solution:
Find the values of λ and μ for the given simultaneous equations if they have an infinite solution.
x + 3y - 6z = 3
4x + 6y + 2z = 6
2x + 3y + λ = μ
Solution:
A deck of 5 cards is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the number on the first card is one higher than the number on the second card?
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