Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = ex-4 y = 0 X = 4 x = 7 +x

You are constructing a box out of cardboard with the dimensions 2 m by 3 m. You then cut equal-size squares from each corner so you may fold the edges. Find a that maximizes the volume of the box. Answer exactly. Preview TIP Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

Use the washer or shell method to find the volume of the solid obtained by: x=y^2 and x=4y about the line x=7. Graph the region and show an arbitrary rectangle. Use the graph and show reasoning. Show your work and integrate.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = ex - 6 y = 0 X = 6 X = 7