Explain how you could have predicted in advance that the first group of three integrals would have calculated out to the same value. Explain why it would have been quite a surprise if the second group of three path integrals had all calculated out to be equal.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)