For questions 1 and 2, consider the function f(x) = + x +1 on the interval [0, 4]. 4 12 f 10 8. 4 2 -2 -1 1 3 4 1) We approximate the area under the graph of y = left-hand endpoints. f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) List the gridpoints, xo, X1, X2, X3, X4, used in this approximation. Gridpoints: c) Illustrate this area approximation by sketching the corresponding rectangles in the graph above.
For questions 1 and 2, consider the function f(x) = + x +1 on the interval [0, 4]. 4 12 f 10 8. 4 2 -2 -1 1 3 4 1) We approximate the area under the graph of y = left-hand endpoints. f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) List the gridpoints, xo, X1, X2, X3, X4, used in this approximation. Gridpoints: c) Illustrate this area approximation by sketching the corresponding rectangles in the graph above.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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