Which of the following equations describes all points that are 6 units away from the point (−2, 4)? (x − 2)2 + (y + 4)2 = 62

(x + 2)2 + (y − 4)2 = 62

(x + 2)2 + (y − 4)2 = 6

(x − 2)2 + (y + 4)2 = 6

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.

Proceed as in example 3 in section 6.1 to rewrite the given expression using a single power series whose general term involves xk. ∞ n(n − 1)cnxn − 2 n = 2 − 4 ∞ ncnxn n = 1 + ∞ cnxn n = 0

Find the equation of the line with slope =8 and passing through (6,53) write your equation in the form y=mx+b