To catch a frisbee, a dog leaps into air with an initial velocity of 14 feet per second. Write a model for the height of the dog above the ground. After how many seconds does the dog land on the ground?

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x) − 4?

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about y = 8.8y = x3, y = 0, x = 4use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about y = 8.8y = x3, y = 0, x = 4

Find the exact value of cos(arcsin( one fourth for full credit, explain your reasoning. (2 points)