(a)
To Sketch: The region R enclosed between the graph of the function y and x axis
(a)
Answer to Problem 5E
Explanation of Solution
Given information: The function
Sketch: We need to sketch the region bounded by function y and the x axis over the given interval.
Graph the function y by making a table. Assume some number for x and find out y
x | |
-1 | -3 |
0 | 0 |
1 | 1 |
2 | 0 |
3 | -3 |
Graph the table on the coordinate plane
(b)
To Calculate: The area of the region R enclosed between the graph of the function y and x axis
(b)
Answer to Problem 5E
Approximate area of region R is 1.25
Explanation of Solution
Given information: The function
Calculation: Partition the given interval into 4 subintervals.
The width of each subinterval is
Find the area of each rectangle by taking the left side value of each rectangle
The
Area of the rectangle is width times height
Find the area of 4 rectangles and add the area
Approximate area of region R is 1.25
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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