Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both uequalsleft angle 2 comma 0 comma 2 right angle and wequalsleft angle negative 2 comma 1 comma 0 right angle where tequals0 corresponds to the given point.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

Factor the polynomial. b^2 + 4b + 4