Need some help

1. Find the linearization of the following functions at the specified value to 5 decimal places: A) f(x) = Vx at x =8 to find V8.1 ~ B) f(x) = sin x at x = to find sin (~ 2. Find the following for the given functions: A) Find the linear approximation for f (x) = cos x at x = B) Find the local linearization of f (x) = vx at an appropriate point to approximate v27. 3. For y = ex, find dy. 4. For y = x2 + 2x, find Ay and dy at x = 3 if dx = 0.2.1. For each of the numbers represented by a, b, c, d, r, and s, state whether the function, whose graph is shown, has either an absolute/local max/min, both, or neither. (a) Graph 1 (b) Graph 2 oab carsx (a) ( b ) GOGE (c ) ( d ) ( T ) ( T ) (s ) ( s ) 2. Find the critical numbers for the following functions: A) f(x) = 6x5 +33x4-30x3+100 B) f (x) = x2+1 x2 - x-6 C) f(x) = 10xe3-x2 D) f(x) = x2 In(3x)3. Find the critical points for the following functions: A ) f (x ) = x3 - =x2 - 2x+ 1 B) f (x ) = xex2 4. Find the absolute max and min for the following fucntions and interval given: A) f(x) = x2 - 4x+3, over [1,4] B) f (x) = (x2 -4)3, over [-2,3] C) g(x) = x - 2tan-1 x, over [0,4]