2.8 Progress saved Done VO -. Score: 0/9 0/9 answered . Question 3 0/1 pt 05 # 2 0 Details Find the linear approximation of f(x) = Inx at = = 1 and use it to estimate In(1.05). L(x) = In (1.05) ~ Question Help: Video Submit Question2.8 Progresssaved Done a 115' Score: 039 D.-"9 answered . Question 4 V B 0J1 pt 0 5 '3 Z G) Details Given the function below x) = \3/196x3 + 147 Find the equation of the tangent line to the graph of the function at .1: = 1. Answer in mm + l) form. mm =: Use the tangent line to approximate f{1.1]. L(1.1) 2'. | Compute the actual value of f(1.l}. What is the error between the function value and the linear approximation? Answer as a positive value only; |error| HI I (Approximate to at least 5 decimal places.) Question Help: [E] Video Submit Question Home 2 Math 261 Calc | Summer 2023 2 Assessment 2.8 Progress saved Done a 15' Score: 09 0;"9 answered . Question 5 V a 0J1 pt '0 5 3 2 G) Details The circumference of a sphere was measured to be 70 cm with a possible error of 0.5 cm. Use Linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area. Question Help: E] Video Submit Question Home 2' Math 261 Cal: I Summer Assessment 2.8 Scare: 0!? 0.59 answered Progress saved Dene a ' . Question E: v B UM pt '0 5 53 2 G) Details Let 'y = tan(3:: + 5). Find the differential dy when .7: = 4 and d1: = 0.2:] Find the differential d'y when 1: = 4 and dz: = 0.4:] Question Help: E] Video Submit Question Home : Math 261 Calc I Summer 2023 : Assessment 2'8 Progress saved Done a 15' Score: 09 0;"9 answered . Question I" V E 0J1 pt '0 5 3 2 G) Details Let y = 52:2. Find the change in 1;, g when :3 = 5 and A2: = 0.3:] Find the differential Ely when a: = 5 and (in: = 0.3:] Question Help: [3] Video Submit Question Home > Math 261 Calc | Summer 2023 > Assessment 2.8 Progress saved Done VO-O Score: 0/9 0/9 answered . Question 8 0/1 pt 9 5 $ 2 0 Details Let y = 2vX. Find the change in y, Ay when c = 4 and Ax = 0.3 Find the differential dy when a = 4 and dax = 0.3 Submit QuestionHome 2 Math 261 Calc | Summer 2023 2 Assessment 2.8 Score: 0J9 03"? answered Progress saved Dane a ' . Question 9 V ( > a 0J1 pt '0 5 2 G) Details Let y = sill(5:r:]. If Ax = 0.4 at :B = 0, use Linear approximation to estimate A}; Find the percentage error Question Help: E] Video Submit Question Home 2 Math 261 Cale I Summer 202" ' Assessment 2.9 Progresssaved Done a 45' Score: 05 DIE answered 0 Question1 v E on pt '0 5 8 2 G) Details Given the equation beLow, find y. 34:z3 + 102% + y? = 23 =| dz Now, find the equation of the tangent Line to the curve at [1, 1). Write your answer in m + b format Question Help: [I] Video Submit Question Home 2 Math 261 Calc | Summer 2023 2 Assessment 2.9 Progress saved Dane a 15' Score: 035 0:5 answered . Question 2 V B OH pt '0 5 G) Details Find the slope of the tangent line to the curve zz + my 4313 = 108 at the point [3, 3]. Question Help: E] Video Submit Question _ UITIITIEF 2.9 Progress saved Done a 115' Score: 135 1;"5 answered . Question 4 V a 0J1 pt '0 5 3 2 G) Details Find the equation of the tangent line to the curve {a lemniscate) 2(32 + y2)2 = 25(32 3,?) at the point (3, 1). The equation of this tangent Line can be written in the form y = mm + b where m is: | | and where bis:| | Question Help: E] Video