Question

Use the diagram to estimate the area under the curve between ï = 0 and x = 3 Y 15+ 14- 13 12- 11- 10- 9. 8- 7- 6- 6543 N 5- 4- 3. 2- 1 2​

Answer 1

16

Explanation:

The area under the curve can be estimated by adding the areas of 1 triangle and 2 trapezoids using the dashed lines in the graph and the x-axis.

Triangle:

base = 1

height = 2

Trapezoid 1:

base1 = 1

base2 = 7

height = 1

Trapezoid 2:

base1 = 7

base2 = 15

height = 1

total area = (1)(2)/2 + (1 + 7)(1)/2 + (7 + 15)(1)/2

total area = 16