Section 2.1: Problem 1 (1 point) Previous Problem Prehlem LiSI NEXT PIODIEITI Let 15(5) = 5 29, M2) = C] Use this to nd the equation of the tangent line to the curve y = 5 2:3 at the point (2, 1 1) and write your answer in the form: 5: = mm + b, where m is the slope and b is the yintercept. C] Section 2.1: Problem 2 (1 point) Previous Problem Problem List Next Problem If a ball is thrown straight up into the air with an initial velocity of 100 ft/s, its height in feet after t seconds is given by y = 100t - 16t . Find the average velocity for the time period begining when t = 1 and lasting (i) 0.1 seconds (ii) 0.01 seconds (iii) 0.001 seconds Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1. Note: You can earn partial credit on this problem.Section 2.1: Problem 3 (1 point) Previous Problem Problem List Next Problem Find an equation of the tangent line to the curve y = -3 - 2x - 3x- at (1, -8). ySection 2.1: Problem 4 (1 point) Previous Problem Problem List Next Problem If f(x) = 6x2 - 4x - 7, find f'(a). Answer:Section 2.1: Problem 5 (1 point) Previous Problem Problem List Next Problem Let f(x) = x sin if 1 0 if = = 0' Determine whether or not f'(0) exists. Answer Yes or No: ? vSection 2.1: Problem 6 (1 point) Previous Problem Problem List Next Problem If f(I) 4x* sin I if : * 0 10 if = = 0 determine whether or not f'(0) exists. Answer Yes or No: ?Section 2.1: Problem 7 (1 point) Previous Problem Problem List Next Problem The limit V64 + h - 8 lim h 0 h is the standard expression defining the derivative of some function f(x) at some number a. Find f and a. f(x) =Section 2.1: Problem 8 (1 point) Previous Problem Problem List Next Problem The limit (6 + h)- 216 lim h +0 h is the standard expression defining the derivative of some function f(@ ) at some number a. Find f and a. f(x) =