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The size of a balloon is changing with respect to time, such that the volume is given by V(t), where V(t) is measured in cubic centimeters and t is measured in seconds. A tangent line is shown for V(t) at t = 2 seconds. Determine the best estimate for the value of the instantaneous rate of change of V(t) when t = 2. 8 V(t) v1 6 5 3 N V(2)-V(1) 1 V(lim t) t-1 AV(t) 2 V(2.01)-V(1.99) 0.02The graph of the function f is shown. -2 -3 -4 -8 -3 -2 -9 -7 -5 For what values of c does lim f(x) = -2? X-c O-4 only O -5 and -4 O-5 and -2 O-5, -4, and -2The graph of the function h is shown. Why is 991110 nonexistent? The limit is unbounded The limit from the left dues nat equal the limit from he righl. The limit is oscillating around the xvalue. The xvalue is approaching the endpoint ol an interval. The graph of the function g is shown. 3 2.5 2 1 .5 2.5 -0.5 -1 -1.5 -2 2 3 What is lim g(x)? X-+0 O-1 O1 O DNEQuestion 5(Multiple Choice Worth 6 points) (01.02 LC) X- -1 What is the lim f(x) for the following graph? 3 N -2 -3 -2 O -1 O 1 2Question 6 (Essay Worth 10 points) (01.03 HC) Values of f(x) at selected values of x are shown in the table. x -2.75 -2.1 -2.01 -1.99 -1.9 -1.25 f(x) -0.313 -0.05 -0.001 5.000 5.05 5.313 Based on the data in the table, apply what you have learned about one-sided limits to determine if lim f(x) exists. If it does exist, determine what it equals, and if it doesn't exist, explain why. x- - 2 Choose File no file selectedThe graph of fis shown on the coordinate plane. Selected values for g are shown in the table. Graph of I x-val Me: 2 0 5 6 glx) values 1 A 3 2 H7 Limit values or g(x) I-ngm: 5 1'31\"): 0 1T5\") : 2 31690): *2 a. Use the graph ol {and the table my to determine lim x45 \"900) b. Find 3'2\"") or explain why it does not exist. Use correct limit notation in your answer. (3 points) 2 [2'00 73] according to limit theorems. (3 points) 0. ll m(x) = x2 2x and "(X)= 711,tindli5|2m(x)n(x)- Justify your answer and use correct limit notation in your work. (4 points) Choose We no file selected