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1. a) an ornamental light bulb is designed by the revolving graph of y=(1/3)x^(1/2) -x^(3/2), 0<x<(1/3)...

1. a) an ornamental light bulb is designed by the revolving graph of y=(1/3)x^(1/2) -x^(3/2), 0<x<(1/3) about the x-axis, where x and y are measured in feer. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (assume that the glass is 0.015 inch thick).

b) Use technology to find b so that the arc length of y = x3 over the interval [0, b] is 6. An approximate answer to three decimals is acceptable.

please explain B

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