Let h(x)= cases x+1, & 0 x<2

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let h(x)={x+1,0≤x<2,kx2,2≤x≤4h(x)=\begin{cases} x+1, & 0\le x<2,\\ kx^{2}, & 2\le x\le 4 \end{cases} Find the constant kk so that the average value of hh on [0,4][0,4] equals 55.

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