Business Calculus
h(x)h\(\left\)(x\(\right\)) is always equal to its average value on [0,5]\(\left\[\lbrack\)0,5\(\right\]\rbrack\)
h(0)=h(5)h\(\left\)(0\(\right\))=h\(\left\)(5\(\right\))
The average value of the function is always 00
There exists at least one point cc on the interval [0,5]\(\left\[\lbrack\)0,5\(\right\]\rbrack\) such that h(c)=15∫05h(x)dxh\(\left\)(c\(\right\))=\(\frac\)15\(\int\)_0^5h\(\left\)(x\(\right\))\,dx