Home > Math 261 Calc- | Summer 2023 >Assessment 2.8 Progresssaved Done lg 15' Score: 039 D-"9 answered 0 Question1 v 8 m1 pt '0 5 2:3 2 G) Details Use linear approximation, i.e. the tangent line, to approximate V644 as folLows: Let x) = . Find the equation of the tangent line to ffrc) at a: = 64 L(:n) = I I Using this, we find our approximation for V6434 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact EHSWEF. Question Help: [I] Video Submit Question Course Gradebook Home > Math 261 Calc | Summer 2023 > Assessment 2.8 Progress saved Done VOCO Score: 0/9 0/9 answered . Question 2 0/1 pt 95 # 2 0 Details 1 Use linear approximation, i.e. the tangent line, to approximate 0.503 as follows: Let f(x) =- 1 - and find 1 the equation of the tangent line to f() at a "nice" point near 0.503. Then use this to approximate 0.503 Question Help: Video Submit QuestionHome 2 Math 261 Calc | Summer '20 2 Assessment 2.8 Score: (HQ 0,"? answered Progress saved Done a 15' 0 Question 3 V B 0J1 pt 0 5 3 Z G) Details Find the Linear approximation of f(3) = him at x = 1 and use it to estimate 111(105). umE new: Question Help: E] Video Course | Gradebook Home > Math 261 Calc | Summer 2023 > Assessment 2.8 Progress saved Done Score: 0/9 0/9 answered . Question 4 0/1 pt 95 2 2 0 Details Given the function below f(x) = V 196x3+ 147 Find the equation of the tangent line to the graph of the function at I = 1. Answer in max + b form. L(x) = Use the tangent line to approximate f(1.1). L(1.1) = Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. | error | ~ (Approximate to at least 5 decimal places.) Question Help: Video Submit QuestionHome > Math 261 Calc | Summer 2 23 >Assessment 2.8 Score: 039 D-"9 answered 0 Question 5 V ( > 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: [3] Video Submit Question Progresssaved Done a ' Eon pt 05 32 Details 2.8 Progress saved Done g 16' Score: 09 0;"9 answered 0 Question 6 v 8 0x1 pt '0 5 G 2 G) Details Let y = tan(3a: + 5). Find the differential dy when a: = 4 and d1: = 0.2:] Find the differential dy when a: = 4 and d3: = 0.4:] Question Help: E] Video Submit Question Home > Math 261 Calc I Summer 2023 > Assessment 2.8 Progress saved Done VOCO Score: 0/9 0/9 answered . Question 7 0/1 pt 05 #2 0 Details Let y = 5x2. Find the change in y, Ay when x = 5 and Ax = 0.3 Find the differential dy when x = 5 and da = 0.3 Question Help: Video Submit Question2.8 Progress saved Done Score: 0/9 0/9 answered Question 8 0/1 pt 05 $2 0 Details Let y = 2vi. Find the change in y, Ay when x = 4 and Ax = 0.3 Find the differential dy when x = 4 and da = 0.3 Submit QuestionHome 2 Math 261 Calc- | Summer 2023 2 Assessment 2.8 Score: 09 0;\"? answered Progress saved Done a 115' . Question 9 V a 0J1 pt '0 5 3 2 G) Details Let y = sill'm). If Ax = 0.4 at :1: = 0, use Linear approximation to estimate A'y Find the percentage error Question Help: [1] Video Submit