At Dancing Coefficients Academy each dance class is performing at the academy’s talent show. The contemporary dance class presentation must be less than 35
minutes. They decide to have a combination of songs by Jason Mraz and Corry Crowder. Each Jason Mraz song lasts three and a half minutes and each Corey Crowder song lasts five minutes.

Part A: Write an inequality to represent the situation.

Part B: Graph the inequality and shade the area where the solutions are.

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

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