HW20 Linear Approximations and Applications (54.2) Score: 2/10 3/10 answered Progress saved Done (E) W' E 0 Question 6 ' E 0/1 pt '0 3 8 99 (D Details I Next ' Given the function below at) = f/48m3 + 112 Find the equation of the tangent line to the graph of the function at as = 1. Answer in ms: + b form. we: Use the tangent line to approximate f(1.1). mm = S 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| m :] (Approximate to at least 5 decimal places.) Use linear approximation, i.e. the tangent line, to approximate 4.63 as follows: Let f(sc) = $3. The equation of the tangent line to f(a:) at a: = 5 can be written in the form 3; = ma: + b Using this, we find our approximation for 4.63 is :] 1 0.201 1 . , . follows: Let f(:c) = E and find the equation of the tangent line to f(a:) 1 0.201 ' as Use linear approximation, i.e. the tangent line, to approximate at a "nice" point near 0.201. Then use this to approximate :] Find the linear approximation of f(@) = In x at x = 1 and use it to estimate In (1.16). L(a) = In(1.16)