(1) The following diagram is an example of (a) A fraction (b) A fractal (c) Sierpinski's cat (d) Sierpinski's puppy (e) None of the above (2) Iteration is (a) A process that is (b) An algorithm |(e) None of the Sierpinski invented above (c) Something Pascal (d) Something invented done over and over again (3) The fourth term of the sequence defined by the recursive formula t; = 4, t2 = 6 t= tai+ tezis (a) 10 (b) 8 |(c) 16 (d) 30 (e) None of the above (4) Graph theory: (a) deals with learning (b) was invented by (c) has nothing to do (d) deals with networks (e) None of the how to plot x's before Descartes with Euler and their use in solving above y's problems (5) A Network is: (a) a collection of line (b) always a fractal (c) always traceable (d) complete but not (e) None of the above segments and nodes connected (6) Nodes are usually called: (a) foci (b) vertices (c) centrifuges (d) points of nodal (e) None of the intersection above (7) The line segments in a network are: (a) like a road that takes (b) not supposed to (c) always straight (d) Called edges (e) None of the above you to each edge cross The following refers to questions 8, 9, and 10. Consider the following map: A (8) The maximum number of colours needed for this map is (a) 1 (b) 2 (c) 3 (d) 4 (e) None of the above (9) The minimum number of colours needed for this map are:
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![(1) The following diagram
is an example of
(a) A fraction
(b) A fractal
(c) Sierpinski's cat
(d) Sierpinski's puppy (e) None of the above
(2) Iteration is
(a) A process that is
(b) An algorithm
(c) Something Pascal (d) Something
(e) None of the
done over and over
invented
Sierpinski invented above
again
(3) The fourth term of the sequence defined by the recursive formula ti= 4, tz = 6 tn= tn-1+ tn-2 is
(a) 10
(b) 8
(c) 16
(d) 30
(e) None of the above
(4) Graph theory:
(a) deals with learning (b) was invented by (c) has nothing to do (d) deals with networks (e) None of the
how to plot x's before
Descartes
with Euler
and their use in solving
above
y's
problems
(5) A Network is:
(a) a collection of line
segments and nodes
(b) always a fractal (c) always traceable (d) complete but not (e) None of the above
connected
(6) Nodes are usually called:
(a) foci
|(b) vertices
(c) centrifuges
(d) points of nodal
(e) None of the
intersection
above
(7) The line segments in a network are:
(a) like a road that takes
(b) not supposed to
(c) always straight (d) Called edges
(e) None of the above
you to each edge
cross
The following refers to questions 8, 9, and 10. Consider the following map:
A
B
(8) The maximum number of colours needed for this map is
(a) 1
(b) 2
| (c) 3
(d) 4
(e) None of the above
(9) The minimum number of colours needed for this map are:
|(a) 1
(b) 2
| (c) 3
(d) 4
(e) None of the above
(10) The map can be represented as a network that is:
(d) both (b) and (c) (e) both (a) and (c)
|(b) connected
The following refers to questions 11, 12, and 13.
(a) complete
(c) planar
A.
B
Consider the following network.
E
(11) The odd degree vertices are:
(а) А, В, с, D
(b) А, В, D, E
(c) B, D, E, F
(d) E, D, B, C
(e) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc46def1d-7af4-439c-8152-94ccbbef7e87%2F0dbd012e-c6dc-412a-84e9-831aaf856b25%2F0mh7rae_processed.jpeg&w=3840&q=75)
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