A machinist is required to manufacture a circular metal disk with area 906 c1112. Give your answers in exact form. Do not write them as decimal approximations. a} What radius, 5:, produces such a disk? b} If the machinist is allowed an error tolerance of :|:5 {riff}.2 in the area of the disk, how.r close to the ideal radius in part {a} must the machinist control the radius? c} Using the EMS definition of a limit, determine each of the following values in this context: -5 -4 -3 -2 4 -4 Use the graph of f() above to estimate the value of f'( - 1) to one decimal place. f' ( - 1) =5. 5. 4 2 For the above function f( x ) = 2 . 1.45, estimate f (x) using h = 0.001 for the following three values. f'( - 2.5) = f' (1.75) = f' (2.25) =Graph the function f(x) = - 2x' and draw the tangent lines to the graph at points whose x-coordinates are -2 , 0, and 1. Clear All Draw: f(z + h) - f(z) Find the difference quotient h Find f'() by determining lim f( I t h) - f(I) h Find f'( -2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)