Consider the following matrix \(A=\begin{bmatrix} 2 & 3 \\ x & y \end{bmatrix}\) If the eigenvalues of A are 4 and 8, then
-
Solution
The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order.
Which of the following sequences can not be the degree sequence of any graph ?
I.7, 6, 5, 4, 4, 3, 2, 1
II.6, 6, 6,6, 3, 3, 2,2
III.7, 6, 6, 4, 4, 3, 2, 2
IV.8, 7, 7,6, 4, 2, 1,1
The bisection method is applied to compute a zero of the function f(x) = x4– x– x2– 4 in the interval [1, 9]. The method converges to a solution after ___ iterations.
-
Solution
Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6 ?
-
Solution
Consider the function f(x) = sin(x) in the interval x ∈ \(\left [ \frac{\pi }{4},\frac{7\pi }{4} \right ]\),The number and location(s) of the local minima of this function are
Consider the following circuit with initial state Q0= Q1 = 0.The D flip-flops are positive edged triggered and have setup times 20 ns and hold times 0.
Consider the following timing diagrams of X and C; the clock period of C ≥ 40 ns. Which one is the correct plot of Y?
-
Solution
Trigger is a
Which of the following statements is incorrect for a macro-processor system using I/O mapped I/O?
On receiving an interrupt from an I/O device, the CPU
Which one of the following Boolean expressions is NOT a tautology?
-
Solution