How to solve these 3 different questions?

( 2 marks ) Consider the polar curve r(0) = cos(0) + 4 sin(0) . This represents a circle with Cartesian equation ( 2 - a) 2 + ( y - 6) 2 = 2 where a = b = 4 and r = DO. This circle Click for List The centre of the circle has the polar coordinates (R, or) where the exact values of R > 0 and a E [0, 27) are R = and a =(2 marks) Consider the iunction f : [2, 1] > R defined by f(m)=m2+5. On the interval [2, 1] the maximum value off is and the minimum value is . Similarly, on the interval [0, 1] the maximum value off is and the minimum value is . Hence the values of upper and lower Riemann sum, E1; and p respectively, for function f with respect to the partition 'P = {2,1,0,1} are ( 2 marks ) The function F : R - R is given b 1 F(2) = dt. 4 + sin7 t (i) Find F(-1) . F(-1) = (ii) As a - 00 , F(a) - 00 (iii) Find F (ac) . F' (2) = P [Remember to use Maple syntax in your answer, for example 7x-cos-2 x would need to be entered as 7*x^2*cos (x) ^12 . Also, don't forget to set parenthesis (.) where necessary.]