Numerical Analysis
10th Edition
ISBN: 9781305253667
Author: Richard L. Burden, J. Douglas Faires, Annette M. Burden
Publisher: Cengage Learning
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AREA OF COMPOUND FIGURE
A compound shape is made up of basic shapes put together.
To find the area of a compound shape, follow these steps:
1. Break the compound shape into basic shapes.
2. Find the area of each basic shape.
3. Add the areas.
Example:
Area A 2 x 9 = 18
Area B = 4x4 = 16
2 ft.
Total area = 18+ 16 = 34
9 ft.
A
5 ft.
6 ft.
4 ft.
B
4 ft.
In a national park, the current population of an endangered species of bear is 80. Each year, the
population decreases by 10%. How can you model the population of bears in the park?
# of years
# of bears
9
10
2
3
4
5
6
7
8
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1
Graph your data. Remember to title your graph.
What scale should be used on the y-axis?
What scale should be used on the x-axis?
SMOKY
19
OUNTAINS
NATIONAL
Exponential Decay Equation
y = a(1-r)*
PARK
2. Find the Bezier surface equation using the 9 control points shown below. Use
the u and v directions shown. It is required to show all the calculation processes
for finding Bernstein polynomials. Find the surface tangent, twist and normal
vectors at point u=0.5 and v=0.5. (40 points)
y
10
9
8
7
6
5
4
3
2
Poo
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1
1 2 3 4 5 6 7 8 9
10
10
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