Suppose that you are climbing a hill whose shape is given by z=833−0.05x^2−0.02y^2, and that you are at the point (90, 80, 300) in which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest? if you climb in that direction, at what angle above the horizontal will you be climbing initially (radian measure)?

Inez has a phone card. the graph shows the number of minutes that remain on her phone card a certain number of days.

The figure below shows rectangle abcd and the triangle eca on a coordinate plane.which of the following expressions represents the perimeter of triangle of triangle eca in units

The two cylinders are similar. if the ratio of their surface areas is 9/1.44 find the volume of each cylinder. round your answer to the nearest hundredth. a. small cylinder: 152.00 m3 large cylinder: 950.02 m3 b. small cylinder: 972.14 m3 large cylinder: 12,924.24 m3 c. small cylinder: 851.22 m3 large cylinder: 13,300.25 m3 d. small cylinder: 682.95 m3 large cylinder: 13,539.68 m3