MAT XXXXXXXXXXMAPLE LAB PROJECT # 1 Problem # 1 f(x) = x2 − x 1. Plot the graph of f(x) from x = 0 to x =2 2. Using definite integral, find the exact area of the region bounded by the curve of f(x),...

Maple Lab


MAT 302-0504 MAPLE LAB PROJECT # 1 Problem # 1 f(x) = x2 − x 1. Plot the graph of f(x) from x = 0 to x =2 2. Using definite integral, find the exact area of the region bounded by the curve of f(x), the x-axis, x = 0, x = 2 3. Using Riemann Sum(right-hand method), find the approximate value of the area for the following partitions: i. n=10 ii. n= 100 iii. n= 1000 4. What happens as n increases? 5. What happens when n goes to infinity Problem # 2 g(x) = x3 1. Plot the graph of g(x) from x = -1 to x =0 2. Using definite integral, find the exact area of the region bounded by the curve of g(x), the x-axis, x = -1, x = 0 3. Using Riemann Sum(left-hand method), find the approximate value of the area for the following partitions: i. n= 10 ii. n= 100 iii. n= 1000 4. What happens as n increases? 5. What happens when n goes to infinity