Question: I need help solving this question asap. 2. [8 marks] Consider f(a:) 2 V4 :2; the upper half of a circle of radius two (depicted
I need help solving this question asap.
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2. [8 marks] Consider f(a:) 2 V4 :2; the upper half of a circle of radius two (depicted below). 2 (a) Consider f V4 r2012. 2 Reproduce the given image (right), and add the four rectangles that represent the approximation of the given integral using four equal subintervals: 3 e (2) 1)! (1!0)a (01 1): Md (1:2)' Use the function value of the left endpoints of each given interval to determine the height of each appmx- _2 _'l o i 2 imating rectangle. . 2 (b) Approximate f V4 3:2 dz: to two decimal places using four equal subintervals and left endpoints. Be sure to Show all 2 your work. (c) Recall the area of a circle (A = arr-2). Determine the area of the semi-circle and determine the error of the approximation in part (b) [i.e. calculate the dilferenee between the approximation in part (b) and the actual area]
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