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 classrooms are trying to raise $1,200.00 for charity. mrs. leblanc's class has raised 50%. mr. patel's class has raised $235.14 ms. warner's class has raised 1/3 as much as mrs. leblanc's class. how much more money is needed to reach the goal of $1,200.00?

Me with geometry ! in this figure, bc is a perpendicular bisects of kj. dm is the angle bisects of bdj. what is the measure of bdm? •60° •90° •30° •45°

Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.