Use Stokes' Theorem to evaluate ∫∫ curl F · dS. F(x, y, z) = x² sin(z)i + y²j + xyk, S is the part of the paraboloid z = 9 − x² − y² that lies above the xy-plane, oriented upward. (This question was answered on this site before, but the explanation wasn't thorough enough.)

In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a. ab=bc b. bc=xy c. ab=wx d.

Which of the following is a function? a.) {(-2, -4/5), (-1,-,,-1)} b.) {(-2,,1/,3/,1)} c.) {(-22)} d.) {(-21)}

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.