Final answer:
To find the net area and area of the region bounded by y = 10cos(x) and the x-axis between x = a and x = b, integrate the absolute value of the function from x = a to x = b. Graph the function to visualize the region.
Step-by-step explanation:
To find the net area and area of the region bounded by y = 10cos(x) and the x-axis between x = a and x = b, we need to integrate the absolute value of the function y = 10cos(x) from x = a to x = b. The net area is the signed area under the curve, meaning that the areas above the x-axis and below the curve are positive, while the areas below the x-axis and above the curve are negative.
To graph this function, we can plot points by substituting different values of x into the equation and calculating the corresponding values of y. Then, we can connect these points with a smooth curve. The region bounded by the curve and the x-axis between x = a and x = b will be the area under the curve between these two x-values.
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