Let F = 3xyi + 9y2j be a vector field in the plane, and C the path y = 6x2 joining (0,0) to (1,6) in the plane. A. Evaluate ∫CF⋅ dr
B. Does the integral in part(A) depend on the joining (0, 0) to (1, 6)?

Farmer dave harvested his corn. he stored 5/9 of his corn in one large silo and 3/4 of the remaining corn in a small silo. the rest was taken to a market to be sold. a. what fraction of the corn was stored in the small silo? 10 points

The weight of an object in the water is 7% of its weight out of the water. what is the weight of a 652g object in the water?

Need now 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.