a group of people went to the festival. they bought 18 tickets total. child tickets cost $4.25 each and adult tickets cost $6.50 each. if they spent $87.75 total, how many of each type of ticket did they buy?

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.

Find the value of the variable and the length of each chord for #5 and #6.

Find the measure of angle b in the following triangle