2018 MATH 5 A EN.pdf - Foxit PDF Reader X . . . File Home Comment View Form Protect Foxit eSign Share Help Tell me... Q Find TI & Hand Select SnapShot Clipboard Zoom Page Fit Reflow Rotate Typewriter Highlight Link Bookmark File Image Audio Option View Attachment Annotation & Video X 2018 MATH 5 A Solution... Reduce the file size Start stephen_hawking_a_bri... The Big 9.pdf 2018 MATH 5 A EN.pdf W 1) Calculate * dx . 4 marks 2) Consider the sphere S: (x -3)2 + y2 + (z-8) =16. Determine the centre and the radius of the smallest sphere, which 4 marks touches both the sphere S and the xy-plane. 3) 80 % of children attending a sports camp are boys. The children voted for their favourite sport. 90 % of the boys and 40 % of the girls voted for football as their favourite sport. A child is selected at random. Calculate the probability that this child is a boy, given that football is the 4 marks child's favourite sport. 4) Given the sequences (Un) and (V,) : U1 =-2 11 and Vn = 3un +4, ne ( 1, 2, 3, ...) . Un+1 = - 4 3 Show that (V, ) is a geometric sequence. 4 marks 5) Solve the equation (2z + 3)i =z. 4 marks + 120% K X