Explain the geometric interpretation of exact differential equations. talk about gradients, the multivariable chain rule, parametric curves and velocity or tangent vectors. what do these have to do with the condition for exactness of a differential equation? use a specific example and draw pictures to elaborate.

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Solve the formula ax+ by = c for x.