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You Are Given Function ff Defined on an Interval [a,b][ a , b ]

question 71

Essay

You are given function ff defined on an interval [a,b][ a , b ] , the number nn of subintervals of equal length Δx=(ba)n\Delta x = \frac { ( b - a ) } { n } , and the evaluation points ckc _ { k } in [xk1,xk]\left[ x _ { k - 1 } , x _ { k } \right] .
(a) Sketch the graph of ff and the rectangles associated with the Riemann sum for ff on [a,b][ a , b ] , and
(b) find the Riemann sum.
f(x)=2x3,[0,2],n=4,ckf ( x ) = 2 x - 3 , \quad [ 0,2 ] , \quad n = 4 , \quad c _ { k } is the right endpoint


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