l. (1 point) Use linear approximation to approximate \\f 64.2 as follows. Let x) = J}. The equation of the tangent line to fix) at .t = 64 can be written in the form y = mx + 1). Compute m and Using this nd the approximation for #642. Answer: 2. (1 point) Use an appropriate local linear approximation to estimate the value of the given quantity. ln[0.97) 5:: 3. [I point) Given that f[3}l = l and f'(3} = 3. nd an equation for the tangent line to the graph of _\\' = x) at x = 3. _\\' = 4. (1 point) Use Newton's method to nd the second and third approximation of a root of x3+x+3 =0 starting with x1 = - l as the initial approximation. The second approximation is x: = The third approximation is I3 = d ' ('1. 5:7, (I point) Suppose .r}' = 2 and 2% = 1. Find LT: when all 3| \"9' 6. [I point) Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 7.5 miE/hr. How rapidly is radius of the spill increasing when the area is 4 mi?) The radius is increasing at mi/hr