Use a computer algebra system like Maple, Sage or Geogebra to solve 2 different mathematical problems

NAME

COLLEGE

TOPIC

LECTURER

QUESTION ONE

Find the area of the part of the surface z=  that lies above |x|+|y|<=1

Area bound by any function  is given by

But ===

Boundary conditions;

Line a:

b:

c:

d:

From the graph, for all values of x such that ,  |y|

to

Therefore;

Using Maple software,

Since the surface is symmetrical about y-axis,

Total area=

QUESTION TWO

Find the exact area of the surface

-2×1, -1y

Area bound by any function  is given by

Therefore;

Boundary conditions

X varies within the range -2×1

Y varies within the range -1y

Solving by maple software,

References

Kreyszig, E. (2006). Advanced engineering mathematics. Hoboken, NJ: John Wiley.CompMaths (1)11 Doc2 (1)

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