Question 2 0/3 pts 5 100 6 0 Details Use linear approximation, i.e. the tangent line, to approximate v16.1 as follows: Let f(a) = Vac. Find the equation of the tangent line to f(x) at x = 16 L( ac) = Using this, we find our approximation for v16.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. Submit QuestionQuestion 3 0/3 pts 9 100 6 @ Details A cylinder begins with a diameter of 28 meters and a height of 30 meters. If the diameter decreases at an instantaneous rate of - 4 m/sec and the height increases at an instantaneous rate of 5 m/sec, determine the rate at which the surface area of the cylinder is changing. 28 m K Q Give your answer as a decimal number including units. Answer: Submit QuestionQuestion 6 0/3 pts 9 100 6 0 Details Consider the function f(x) = 5x - 4x on the interval [ - 3, 3]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval ( - 3, 3) such that f' (c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one isQuestion 7 0/3 pts 9 100 6 8 Details Below is the function f(x). -7 -6 -5 -4 -3 -2 1 1 2 3 4 5 6 7 Over which interval of a values is f' > 0? O (1, 00) O [1, 00) O ( - 00, 1) O ( - 00, 1] O ( - 00, 00]Over which interval of a values is f' 0) O concave down (f''