Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.) x2 + y2 = 10, (1, 3) tangent line y= 3(x -10) X normal lineFind an equation of the tangent line to the graph of f at the given point. f( x ) = 3 x - 1 y= -8x - 7 X Need Help? Read ItUse the position function s(t) = -16t + vt + s, for free-falling objects. A ball is thrown straight down from the top of a 700-foot building with an initial velocity of -30 feet per second. (a) Determine the position and velocity v(t) functions for the ball. s(t) = -1612 - 30t + 700 V(t) = -32t - 30 (b) Determine the average velocity, in feet per second, on the interval [1, 3]. 198 % ft/s (c) Find the instantaneous velocities, in feet per second, when t = 1 and t = 3. V(1) = -62 ft/s V(3) = -126 ft/s (d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) 8.463 X s (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) -360.7 X ft/s Need Help? Read It