On the graph of the line y = x, draw the lines y = 0, x =
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On the graph of the line y = x, draw the lines y = 0, x = a and x = b. Show that the area enclosed by these four lines is 1/2(b2 – a2) (assume b > a). Deduce that this area is the average value of y = x on the interval [a, b] multiplied by the size of that interval.
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a la b 2 b xb x a ba Interval size is b...View the full answer
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