Brenna's mom, Mrs. Herstone, is watching Brenna playing at the park. Some children are pushing Brenna on the merry-go-round. Mrs. Herstone decides to take some data, so she starts her stopwatch. At 0.5 seconds Brenna is farthest from Mrs. Herstone, 26 feet away. When the stopwatch reads 4.2 seconds, Brenna is closest at 12 feet away. Write a periodic function that models the distance Brenna is from Mrs. Herstone over time if the merry-go-round is spinning at a constant rate.

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.

The table shows the results of three plays in a football game. what is the net result of the three plays? football game 1st play 5 yards 2nd play -9 yards 3rd play 12 yards

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?