_ _ _ . . l _ Find the Ilneanzatlon of the function at] = at the point a: = I]. 3613 LL13} = Z Consider the function f(@) = 2x* + 9r. (a) Find the linearization of f(@ ) at the point = = 1 L(x) = (b) Use the linearization in (a) to estimate the value of f ( ). f ( # ) EConsider the function f(@ ) = 5x (a) Find the linearization of f (@ ) at the point = = 4 L(x) = (b) Use the linearization in (a) to estimate the value of f( 39 10 f ( 327T Consider the function f(@ ) = cos (a) Find the linearization of f(@ ) at the point = = 1 L(x) 131 (b) Use the linearization in (a) to estimate the value of cos 56 COS 56(a) Find the best function f() and value a so that the linearization of f( ) at a = a can be used to estimate /9.2. f(x) = E 0 = (b) Find the linearization of f(x) at a. L(x) (c) Use the linear approximation from (b) to estimate v/9.2. V9.2 ~\fUse differentials to estimate the change in y = as + moves from 3 to 3.3 Answer:Use differentials to estimate the amount of paint needed to apply a coat of paint 1 cm thick to a 30 hemispherical dome with a radius of 11 cm. Answer: EThe radius of a sphere was measured to be 7 cm with a possible error of cm. (a) Use a differential to estimate the maximum error in the calculated surface area. Answer: cm (b) Use a differential to estimate the maximum error in the calculated volume. Answer: cm3