Please help me answer the following questions, thank you :)

Angle of am elevation 2 m I m/s A man 2 m tall walks horizontally at a constant rate of 1 m/s toward the base of a tower a = 35 m tall. When the man is 14 m from the tower, at what rate is the angle of elevation changing if that angle is measured from the horizontal to the line joining the top of the man's head to the top of the tower? (Use decimal notation. Give your answer to four decimal places.) do dt radians/sAn object is moving along the parabola y2 = 18(13 3:). When the object is at the point (1, fix/7), its ycoordinate is increasing at a rate of 9 units per second. How fast is the distance from the object to the origin changing at that instant? [Use decimal notation. Give your answer to three decimal places.) Water is owing into a vertical cylindrical tank of diameter 8 m at a rate of 13 n13fmin. Find the rate at which the water depth is rising. [Use decimal notation. Give your answer to three decimal places.) as mfmin Incorrect Find the critical number(s), if any, of the function. f(x) = x2 8 - x (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if there are no critical numbers.) critical number(s):State why Rolle's Theorem cannot be applied to the function f on the given interval [2, 4]. f(x) = 5x3 - 19x Identify the true statements about the function f(x) on the given interval [2, 4]. f is continuous on [2, 4]. Of is not differentiable on (2, 4). Of (2) # f(4) Of is strictly increasing on its domain. Of is not continuous on [2, 4].State why Rolle's Theorem cannot be applied to the function f on the given interval [2, 4]. f(x) = 5x3 - 19x Identify the true statements about the function f(x) on the given interval [2, 4]. f is continuous on [2, 4]. Of is not differentiable on (2, 4). Of (2) # f(4) Of is strictly increasing on its domain. Of is not continuous on [2, 4]