COURSE : PRE CALCULUS/CODE ESEB 4243 -KINDLY PROVIDE EXPLANATION

2. A stunt man working on the set of movies is to fall out of window 150ft above the ground. For the stunt man's safety, an air cushion 30ft wide by 35ft long by 12ft high is positioned on the ground below the window. i. By using h = -16t + 150 for how many seconds will it take for the stunt man to fall before he reaches the cushion. (4 Marks) ii. A movie camera operation at a speed of 25 frames per second records the stunt man's fall. How many frames of film show the stunt man falling? (1 Mark) [Total: 5 Marks] 3. a) Solve the logarithmic equation of (4 Marks) log10(3x + 2) - 210g10 X = 1 -10g10 (5x - 3) b) Let f(x) = x3 - 4x2 - 11x + 30 List the possible rational zeroes of P (3 Marks) ii. Find the complete factorization (1 mark) [Total: 8 Marks] 4. a) Simplify cos x + sin x tan x by using trigonometric identities (3 Marks) b) A series of number is given as 13, 21, 29, 37, ... i) Find nth term of a sequence. (2 marks) ii) Find the 15th term and 45th term. (2 marks) [Total: 6 Marks] 5. Find all solutions of the equation 2 sin x = 1 where 0 S x S 2n