Question 1 (1 point) A box with square base of length x and height y is changing shape such that dr - 3cm/s, - 7cm/s. Find the rate of change of volume when x = 2cm, y = 4cm. Recall: the volume V of a box with length &, width w, and height h is V = lwh. 31cm3 / s 76cm3 / s 5cm3 / s 44cm 3 / s 89cm3 / sQuestion 11 (1 point) An electric skateboarder is travelling west on a path along the river at 5m/s. A brisk walker on the other side of the riverbank is walking east along a path at 3m/s. The two paths are 40m apart. The skateboarder is initially 400m east of the walker. After 60 seconds, how fast is the distance between the skateboarder and the walker changing? Note: We encourage you to use a scientific calculator for this question. The answer below was rounded to 4 decimal points. 7.1554m/s 2.6934m/s -6.4831m/s 4.2681m/s -3.9833m/sLet f and g be functions such that: lim f(x) = 0, lim f'(x) = 15, lim g(x) = 0, lim g'(x) = 5. x-+0 x-+0 2-+0 The limit lim (f(x) + 1) 1/9(x) equals Oe3 Oe 75 OeQuestion y ( 1 point) Let f(x) be a function such that lim f(x) = 0 and lim f'(a) = -2. The limit x-+0 lim f (a ) cos(3x) x-0 sin (5x) is equal to Oo NOT CT / CO CT / N O Co / CTQuestion 8 (1 point) Suppose f(x) is differentiable on (-oo, co), f(3) - 4, and f'(x)