Question

under the Curve 2. Let y e2". a) Using 4 rectangles of equal width (Δ 1)and the rightendpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,4]. Then sketch a graph of the function over the interval along with the rectangles. b) Using 4 rectangles of equal width (Ax 1)and the left endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,4]. Then sketch a graph of the function over the interval along with the rectangles. c) Using 8 rectangles of equal width and the right endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,4]. Then sketch a graph of the function over the interval along with the rectangles. d) Using 8 rectangles of equal width and the left endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,4]. Then sketch a graph of the function over the interval along with the rectangles. e) Use the area function and the fundamental theorem of calculus to calculate the exact area under the curve

Answer 1

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