A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 12 feet and a depth of 2 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. 12 feet 2 feet (6, 2) y x Receiver a. Write an equation in the form y = ax2 for the parabola used to shape the dish.b. The receiver should be placed at the focus (0, p). Thevalue of p is given by the equation a = 14p . How farfrom the base of the dish should the receiver beplaced?

Math 180: Week 08 Finding tangent Line of Inverse Trig Function: Examples: -1 1. What is tangent line y = tan ((⅓)x) @ (3, pi/4) U = ⅓ x U’ = ⅓ -1 Y = tan u y’ = 1 / ( 1 + ((⅓)x)((⅓)(x)) ) * ⅓ = ⅓ / (1+(1/9)(3) = ⅙ Y - pi/4 = ⅙ (x - 3) +pi/4 +pi/4 2. Arcsin sin(pi/6) = ½...