Verify green's theorem for the disc d with center (0, 0) and radius r and the following functions. (a) p(x, y) = 2xy2, q(x, y) = −2yx2 ∂d p dx + q dy = d ∂q ∂x − ∂p ∂y dx dy = (b) p(x, y) = x + y, q(x, y) = 5y ∂d p dx + q dy = d ∂q ∂x − ∂p ∂y dx dy = (c) p(x, y) = 2xy = q(x, y) ∂d p dx + q dy = d ∂q ∂x − ∂p ∂y dx dy = (d) p(x, y) = 5y, q(x, y) = x ∂d p dx + q dy = d ∂q ∂x − ∂p ∂y dx dy =

Tom wants to order tickets online so that he and three of his friends can go to a water park the cost of the tickets is 16.00 per person there is also a 2.50 one-time service fee for ordering tickets online write an expression in term of n that represents the cost for n ordering tickets online

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.

Four equations are shown below. equation 1: y=2*equation 2: y=2x-5equation 3: y=x2 + 6equation 4: tdentify one linear equation and one nonlinear equation from the list. why each equation you identified is linear or nonlinear. nd one nonlinear equation from the list. state a reasonlinear equation