Free Response Questions - No Calculator 13. Consider the closed curve in the x - y plane given by x?y + 3y3 = 24 a. (2 pts) Find x - 2xy x 2 y' + 2xy + 9424, = 0 * 2+942 y ( x 2 + 94 2 ) 2-214 * 2 4942 (b) (2 pts) Determine all points where the tangent line is horizontal. - 2x9 20 x 2 1942 x ( 1 2 9 ) - dilute x y + coordinate -2 xy =014. The figure to the right shows the graph of the function g and the line tangent to the graph of g atx = -1. Let h be the function given by h(x) = e*g(x) a. (1 pt) Find g'(-1) b) (2 pts) What is the value of h'(-1)? n ( x ) = e "gc x ) heI ) = =3 there should be some g' (-1 ) =-6 work Shown:alculus AB Unit 3 Test A 2020 et f (x) = 2+Inx x2 pts) Find the average rate of change of f from x = 1 to x = e. f ( D ) -f ( a ) a x = 1 b k= e D- - 2+ ez - 3+ 202 ( 1-e )ez pts) Find the instantaneous rate of change of f at x = 1. 2 -3 work? - do - 2 + in1 pt) Write an equation of the line tangent to f at x = 1. 2 + inx (1, - 3) y / 2 X2 + - - ( 2+Inx 2* ) = 5 - 3x pts) Find lim f(x) Find lim f (x) x-+00 lim 2 + in =1+ 0 lim 2+ Inc X -70+ Y 2 * 2 work