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Sketch the given region R and then find its area:
a) R is the region bounded by the lines y = x, y = -x, and x = 1
b) R is the region bounded by the x axis and the curve
y = -x2+4x-3
c) R is the region bounded by the curve y = x2-2x and the x axis. (Hint: Note that the region is below the x axis)
d) R is the region bounded by the cuves y = x2-2x and y = -x2 +4
e) R is the region between the curves y = x2-3x2 and y = x2+5x
Solve and provide a brief explanation for your answer
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The length and width of each rectangle are whole numbers. How many different pairs of lengths and widths are there? List them.
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