Homework 2 - Calculus | Section X 9 New Tab X + V X C D A go.view.usg.edu/d21/le/content/2417296/viewContent/44810321/View Apps falconiptv web tv chem calculator . Google Duo Reading list Question 1 For f (x) =1 -x - 2, a =0, . a. Use the following equation to find the slope of the tangent line mtan = f' (a), and Equation : we may define the tangent line to f (x) at ato be the line passing through the point (a, f (a)) having slop: mtan = lim J(ath)-f(a) h provided this limit exists. h-+0 . b. Find the equation of the tangent line to f at x = a. Question 2 For f (a) = 5x - x2, use the definition of a derivative to find f' (x) Type here to search Programs I 12:41 AM 99+ W 65 F B A019) 10/10/2021Homework 2 - Calculus | Section X 9 New Tab X + V X C D A go.view.usg.edu/d21/le/content/2417296/viewContent/44810321/View Apps falconiptv web tv chem calculator . Google Duo Reading list Question 3 For f (z) = = 4, find f' (x). Question 4 The position function s (t) = to - 8t gives the position in miles of a freight train where east is the positive direction and t is measured in hours. a. Determine the direction the train is traveling when s (t) = 0. ... b. Determine the direction the train is traveling when a (t) = 0. c. Determine the time intervals when the train is slowing down or speed up. Question 5 Find dy of y = sin (x) tan (x). Type here to search 12:42 AM Programs 99+ W 65 . F B A01) 10/10/2021B Homework 2 - Calculus | Section X 9 New Tab X + V X C D A go.view.usg.edu/d21/le/content/2417296/viewContent/44810321/View Apps falconiptv web tv chem calculator . Google Duo Reading list Question 6 Find ~ of y = x2 cost (x) Question 7 Find of y = cos 1 (2x) . sin ' (2x) Question 8 For $ + 5x -7 = -2y, (1, 2), find the equation of the tangent line to the graph of the given equation at the indicated point. Auaction 0 Type here to search 12:43 AM Programs 99+ W 65 " F B A01) 10/10/2021