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QUESTION
(a) Draw a graph model with the following adjacency matrix.
(b) The diagram below shows different cities labelled a to g and z. Also shown on the diagram, the possible paths from one city to another. A number represents the distance between two cities. Find the length of the shortest path from a to z. Give appropriate explanations and show all your workings.
jack and his mother paid $11.50 for tickets to the movies. An adult''s ticket costs $4.50 more than a child''s ticket. What was the cost of each ticket?
if Sn =3n²+n, find the A.P.
A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th
x=21
cos^2a+sin^2a
Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu
One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails
Proof of Constant Times a Function: (cf(x))′ = cf ′(x) It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. No
Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b]. We will also suppose that f(x) ≥ g(x) on [a,b].
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