Question # 2 [21 marks] a) Express z (-16-9i)° in the form a+bi where a,bER 1-i...
Question # 2 [21 marks] a) Express z (-16-9i)° in the form a+bi where a,bER 1-i find Inz in polar form, zeC. b) Given z -3e c) (i) State the precise definition of the limit. (ii) A machinist is reguired to manufacture a circular metal disk witharea 1000cm (a) What radius produces such a disk? (b) If the machinist is allowed an error tolerance of +5cm in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? In terms of the δ-ε definition of limf(x) = L, (c) What does x represent? (ii) What does f(x) represent? (iii) What is the value of a ? (iv)What is the value of L? 141