WHICH IS BETTER? Part Two
Below is a comparison between using rectangles and trapezoids to approximate the area under a curve for the same interval of a function. Decide which method you think will best approximate the area under the curve for a ≤ x ≤ b. Then approximate the area using each method if f(x) = –0.25x(x – 9), a = 2, and b = 8 using 3 sections. Compare your results with the actual area A = 25.5 un2. Homework Help ✎
Which method comes closer to the actual curve f(x)?
Each section is 2 units wide. Use this knowledge and the equation of the function to find the areas of each section for both methods.
Which method gave you the number closest to 25.5?