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planar and non planar
What is the difference between planar and non- planar graph? PLANNER GRAPH :- • A graph in which the direction of current or direction or of Edge is given is called planar graph. • planar graph is also known as oriented graph. Non-Planar graph:- • A graph in which the direction of current age is not given is called Non - Planar graph. • Non- planar graph is also known as unoriented graph.
Trapezoidal rule 6
Evaluate Taking 4 equal intervals (I) Trapezoidal rule And (ii) Simpsons 1/3 rd rule Solution:- h = 0.4 - 0 /4 = 0.1 Y = f(x) = cos x X Y 0 1 0.1 0.99500 0.2 0.98006 0.3 0.95534 0.4 0.92106 (I) using Trapezoidal rule Integration of y dx = h/2[(y0+ yn) + 2( y1+ y2..... + y(n-1) ] => 0.1/2 [ (1+ 0.92106) + 2( 0.99500+ 0.98006 + 0.95534) ] => 0.1/2 [ 1.92106 + 2 × 2.9304 ] => 0.05 [ 1.92106 + 5.8608] => 0.05 × 7.78186 => 0.389093 (II) using Simpsons 1/3rd rule Integration of y dx = h/3[(y0+ yn) + 4( y1+ y3 ..... + y(n-1) +2 ( y2+ y4 ..... + y(n-2)] => 0.1/3 [ (1+ 0.92106) + 4(0.99500+ 0.95534) + 2 × 0.98006 ] => 0.1/3 [ 1.92106 + 4× 1.95034 + 2× 0.98006 ] => 0.1/3 [ 1.92106 + 7.80136 + 1.96012] => 0.1/3 ...
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