Consider the function whose derivative is given by dydx = x3x- 2 x+ 3 . Which value of x will give a maximum turning point on the graph of the function? Explain. Find the exact volume if the region bounded by the curve y= 3log x , the x axis and x= 5, is rotated about the y axis.
dydx= x3(x-2)(x+3)
volume=π∫03log525-ey32dy =π25Y-e2y32303log5 =π75log5-32e2log5-10-32e0 =π75log5-32×25+32 =π75log5-752+32 =π75log5-722 =π75log5-36u3
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