Question

Approximate the area under the graph of F(x) = 0.5x^3 + 5x^2 - 0.5x - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately \boxed{} square units. (Type an integer or a decimal.)

Name: Approximate the area under the graph of F(x) = 0.5x^3 + 5x^2 - 0.5x - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal.)
Uploaded: 2022-08-07T04:48:54-08:00
Duration: 3 min 25 s
Channel: Vincenzo Zaccaro
Description: Approximate the area under the graph of F(x) = 0.5x^3 + 5x^2 - 0.5x - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal.)

          Approximate the area under the graph of F(x) = 0.5x^3 + 5x^2 - 0.5x - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately \boxed{} square units. (Type an integer or a decimal.)

Approximate the area under the graph of F(x) = 0.5x^3 + 5x^2 - 0.5x - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal.)

Added by Pamela O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

08/07/2022

Step 1

The width of each subinterval is given by: Δx = (b - a) / n where a = -9 (lower limit of the interval), b = -4 (upper limit of the interval), and n = 5 (number of subintervals). Δx = (-4 - (-9)) / 5 Δx = 5 / 5 Δx = 1 Show more…

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Approximate the area under the graph of F(x) = 0.5x^(3) + 5x^(2) - 0.5x - 5 over the interval -9, -4 using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal.) Approximate the area under the graph of F(x) = 0.5x + 5x - 0.5 - 5 over the interval [-9, -4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units (Type an integer or a decimal).