Verify Stokes' Theorem for the given vector field and surface, oriented with an upward-pointing normal: F=⟨e^(y−z),0,0), the square with vertices (5,0,8),(5,5,8),(0,5,8) and (0,0,8).

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)

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

How do you write y-10=2 (x-8) in standard form