Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle. (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x) = 4 – x;[-2,2]
Unitary Method
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Please help with part B and C. All apart of the same question.
![Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle.
(a) Use two rectangles.
(b) Use four rectangles.
(c) Use a graphing calculator (or other technology) and 40 rectangles.
f(x) = 4 – x²; [-2,2]
(a) The approximated area when using two rectangles is 8 square units.
(Type an integer or decimal rounded to two decimal places as needed.)
(b) The approximated area when using four rectangles is
(Type an integer or decimal rounded to two decimal places as needed.)
square units.
(c) The approximated area when using 40 rectangles is
(Type an integer or decimal rounded to two decimal places as needed.)
square units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff43501d1-6b36-419b-8206-d8e8245e3732%2F8c11c64f-8157-4285-b87b-4fc411464616%2F6hdpe3g_processed.jpeg&w=3840&q=75)
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