Onsider the surface f (x comma y )equals4 minus x squared minus 2 y squared (a paraboloid) and the point P(1 comma 1 comma 1 )on the surface. a. Find the gradient of f. b. Let Upper C prime be the path of steepest descent on the surface beginning at P, and let C be the projection of Upper C prime on the xy-plane. Find an equation of C in the xy-plane. c. Find parametric equations for the path Upper C prime on the surface. a. What is the gradient? gradient f(x, y)equalsleft angle nothing comma nothing right angle

The amount spent on food and drink by 20 customers is shown below what is the modal amount spent and the median? 40 25 8 36 18 15 24 27 43 9 12 19 22 34 31 20 26 19 17 28

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Using graph paper, determine the line described by the given point and slope. click to show the correct graph below.(0, 0) and 2/3