Evaluate the following integral in the region D in the first octant enclosed by cylinder x² + y² = 2x and the plane's y = 0 , z = 0 and z > a > 0 . ​

The table shows the age and finish time of ten runners in a half marathon. identify the outlier in this data set. drag into the table the ordered pair of the outlier and a reason why that point is an outlier.

Find cot x if sin x cot x csc x = √2

Katie wants to collect over 100 seashells. she already has 34 seashells in her collection. each day, she finds 12 more seashells on the beach. katie can use fractions of days to find seashells. write an inequality to determine the number of days, dd, it will take katie to collect over 100 seashells.