est: TEST 4 This Question: 1 pt a) Approximate the area under graph (a) of f(x)-

Question

est: TEST 4 This Question: 1 pt a) Approximate the area under graph (a) of f(x)-3/x2 over the intervel 12.10] by computing the area of each rectangle to four deimal places and then adding b) Approximate the area under graph (b) o fx)-3/over the intervel|12.10] by computing the area of each rectangle to four decimal places and then adding The area under graph (a) is approximately Round to four decimal places as needed) Ay 0: The area under graph (b) is approximately Round to four decimal places as needed) 10 8 10

Explanation / Answer

a) For the part A

Delta x = 2 (which is the width of the rectangle)

Area = Delta x(f(2) + f(4) + f(6) + f(8))

=> 2(3/2^2 + 3/4^2 + 3/6^2 + 3/8^2)

=> 2(3/4 + 3/16 + 3/36 + 3/64)

=> 2.1354

a=b) For the part A

Delta x = 1 (which is the width of the rectangle)

Area = Delta x(f(2) + f(3) + f(4) + f(5) + f(6) + f(7) + f(8) + f(9))

=> 1(3/2^2 + 3/3^3 + 3/4^2 + 3/5^2 + 3/6^2 + 3/7^2 + 3/8^2 + 3/9^2)

=> 1(3/4 + 3/9 + 3/16 + 3/25 + 3/36 + 3/49 + 3/64 + 3/81)

=> 1.6193

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