Question 1: Show that y=bex+ce2x is the solution of the differential equation. d2 y/dx2-3(dy/dx)+2y=0 Solution: y=bex+ce2x (i) Differentiating equation (i)w.r.t x, dy/dx=bex +2ce2x dy/dx=bex+2ce2x (ii)… Read More

Shell Executor is a very simple executor which helps to build the solution locally on the machine, where GitLab Runner is installed. However, it also… Read More

Question 14. Find the mean of the following frequency distribution: Class interval: 25 – 29 30 – 34 35 – 39 40 – 44 45… Read More

Question 1. The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city. Expenditure (in rupees) (x) Frequency… Read More

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Question 8. Prove the following: (i) sin θ sin (90° – θ) – cosθ cos (90° – θ) = 0 Solution: We have to prove… Read More

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Suppose the following functional dependencies hold on a relation U with attributes P,Q,R,S, and T: P → QR RS → T Which of the following… Read More

For constants a≥1 and b>1, consider the following recurrence defined on the non-negative integers: T(n) = a⋅T(n/b) + f(n) Which one of the following options… Read More

Given an undirected graph consisting of V vertices and a 2d array E[][2] denoting edges between pairs of nodes. Given another array arr[] representing values… Read More

For a statement S in a program, in the context of liveness analysis, the following sets are defined: USE(S) : the set of variables used… Read More

For two n-dimensional real vectors P and Q, the operation s(P,Q) is defined as follows: Let L be a set of 10-dimensional non-zero real vectors… Read More

Consider the following two statements about regular languages: S1: Every infinite regular language contains an undecidable language as a subset. S2: Every finite language is… Read More

Consider the following ANSI C program: #include #include struct Node{ int value; struct Node *next;}; int main( ) { struct Node *boxE, *head, *boxN; int… Read More

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