Hello tutor, help needed with questions in the pictures attached below, thanks! no need for full solution, just answers to fill up the empty boxes.

Quiz: Quiz #2 2.1 - 2.3 0 Score: 0 of 1 point Resume later 15 For the position function s(t) = , complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0. Time Interval [0, 1] [0, 0.5] [0, 0.1] [0, 0.01] [0, 0.001] Average Velocity Complete the following table. Time Interval [0, 1] [0, 0.5] [0, 0.1] [0, 0.01] [0, 0.001] Average Velocity (Type an integer or decimal rounded to three decimal places as needed.) The value of the instantaneous velocity at t = 0 is (Round to the nearest integer as needed.)Quiz: Quiz #2 2.1 - 2.3 0 Score: 0 of 1 point For the function f(x) = 2x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 3. Complete the table. (Do not round until the final answer. Then round to the nearest thousandth as needed.) Interval Slope of the Secant Line [2, 3] [2.5, 3] [2.9, 3] [2.99, 3] [2.999, 3] It can be conjectured that the slope of the tangent line at x = 3 is (Round to the nearest integer as needed.)Quiz: Quiz #2 2.1 - 2.3 0 Score: 0 of 1 point Use the graph of f to complete parts (a) through (1). If a limit does not exist, explain why. (a) Find f(2). Select the correct choice below, and fill in the answer box if necessary. 1IIII Ay O A. ((2)= 8- (Type an integer or a fraction.) 7- Q O B. The value of f(2) is undefined. (b) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. x-+2 OA. lim f(x) = x-+2- (Type an integer or a fraction.) O B. The limit does not exist because f(x) is not defined for all x 2. (d) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. X-+2 O A. lim f(x)= x-+2 (Type an integer or a fraction.) O B. The limit does not exist because lim f(x) = lim f(x). x-+2- x-+2+Use the graph of f to complete parts (a) through (I). If a limit does not exist, explain why. (e) Find f(4). Select the correct choice below, and fill in the answer box if necessary. . . . . . Ay O A. (4)= 8- (Type an integer or a fraction.) 7- O B. The value of f(4) is undefined. (f) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. X-+4 OA. lim f(x)= X-4" (Type an integer or a fraction.) O B. The limit does not exist because f(x) is not defined for all x 4. (h) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. X-+4 O A. lim f(x)= x-+4 (Type an integer or a fraction.) B. The limit does not exist because lim f(x) = lim f(x). X-4 x-4+Use the graph of f to complete parts (a) through (I). If a limit does not exist, explain why. (i) Find f(3). Select the correct choice below, and fill in the answer box if necessary. Ay O A. (3)= 8- (Type an integer or a fraction.) 7 - O B. The value f(3) is undefined. (i) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. x-3 O A. lim f(x)= x-+3- (Type an integer or a fraction.) O B. The limit does not exist because f(x) is not defined for all x 3. (l) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. x-+3 O A. lim fix)= x-+3 (Type an integer or a fraction.) O B. The limit does not exist because lim f(x) = lim f(x). x-+3 x-+3+Quiz: Quiz #2 2.1 - 2.3 Score: 0 of 1 point Resume later Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x = a to support your conjecture. x-+3 e - 3x + 3x - 1 g(x) = x2 Use a graphing utility to graph g. Select the correct graph below. O A. O B. O C. OD. o Each graph is displayed in a [ - 1, 1] by [0,5] window. Use the graphing utility to estimate lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. *-+0 O A. The limit appears to be approximately (Round to the nearest tenth as needed.) O B. The limit does not exist.Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x = a to support your conjecture. x-a 2 - 3% + 3x - 1 g(X) = x2 use the grapning vuilty to estimate IIm g(x). Select the correct choice below and, IT necessary, Till in Ine answer box to complete your choice *+0 O A. The limit appears to be approximately (Round to the nearest tenth as needed.) O B. The limit does not exist. Evaluate g() for values of x near 0 to support your conjecture. X - 0.1 - 0.01 - 0.001 0.001 0.01 0.1 g(x) (Round to four decimal places as needed.) Does the table from the previous step support your conjecture? O A. No, it does not. The function g(x) approaches a significantly different value in the table of values than in the graph. O B. Yes, it does. The graph and the table of values both show that g(x) approaches about the same value. O C. No, it does not. The function approaches different values in the table of values as x approaches 0 from the left and from the right. O D. Yes, it does. The graph and the table of values both indicate that the limit as x approaches 0 does not exist.Quiz: Quiz #2 2.1 - 2.3 0 Score: 0 of 1 point Find the following limit or state that it does not exist. Assume k is a fixed nonzero real number. w- + 8kw+ 7k2 lim W- - k W2 + KW Simplify the given limit. w2 + 8kw+ 7k2 lim = lim -6 (Simplify your answer.) W- -k w2 + KW W- - K Evaluate the limit, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. w- + 8 kw + 7k2 O A. lim - 6 (Type an exact answer.) W- - k w 2 + KW O B. The limit does not exist.Quiz: Quiz #2 2.1 - 2.3 For the function g(xx) shown below, compute the following limits or state that they do not exist. if x 5 - 6 136 -2 if -6