A solid is generated by rotating about the x-axis the region under the curve y=f(x) where f is a positive function and x bigger than or equal to zero. The volume generated by the part of the curve from x=0 to x=m is m² for all m>0.

Find the function.

What are the possible rational zeros of [tex]f(x) = x^4+2x^3-3x^2-4x+18[/tex]

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

Scores on the cognitive scale of the bayley-scales of infant and toddler development range from 1 to 19, with a standard deviation of 3. calculate the margin of error in estimating the true mean cognitive scale score, with 99% confidence, if there are 12 infants and toddlers in a sample.