If the function f is continuous on the closed interval [a, b], then there exists at least one point c element of (a, b) such that
given:
the function f is continuous on the closed interval [a, b], then there exists at least one point c element of (a, b) such that
we have to choose between sketch A or B to illustrate the theorem.
according to the given theorem we have
the value will give the area under the curve y=f(x) from x=a to x=b.
the right hand side expression f(c)(b-a) is the area of the rectangle having length (b-a) and breadth equal to f(c).
therefore point x=c should be selected such that the area under the curve from x=a to x=b is same as the single value of the function f(c) mutilplied by the length of the interval for which the area under the curve is calculated.
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