Chapter 2.3, Problem 31ES

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 ° 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 и 1 1 2 3 4 5 6 7 8 9 10 10 X