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Question 1 a. Evaluate: 2 273 x 42 i. IN ii. 10g12 144 b. Solve: i. 3x9*-1 =8141 4* = 25 iii. log, x + log2 5 =4 C. Given the series 16 + 8 +4 + 2+ ... i. find the general term ii. determine the 8th term iii. calculate the sum to infinity of the series Question 2 a. Expand (3x - y)" b . In the expansion of (a + 5b)", find: i. the fourth (4th) term ii. the term in a iii. the term in 62 iv . the coefficient of the seventh (7th) term C. Evaluate _(273 + 5) Question 3 a. Find ALL the factors of 2x3 + 5x - x -6, hence solve the equation 2x3 +5x2 - x-6=0 b. Given the functions f(x) = 5x - 3x +1 and g(x)=-1, ", find: i. f(2) li. 8(4) The value of x, for which g(x) is undefined when: 1. 3x - 5 = 0 2. g(x) = 0 Question 4 Solve the system of equations below: 4x+7y-z=11 3x-5y+52 = 21 x+4y+3z = 18 b. Divide (5x) - 4x? +3) by (x-1) showing clearly your quotient and your remainder. Question 5 a. Given that y = 2*+ + 3 i. Copy and complete the table below for y =2"" +3 1-3 -2 -1 3.25 i Using a scale of 2 cm to represent 1 unit on the x - axis and Icm to represent I unit on the y - axis, draw the graph of y = 2*" +3 for -35x53 - b. In a concert hall there are ten (10) rows of seats, each row of seat has six (6) less than the previous row. The sixth (6th) row has forty (40) seats. Write as a sequence, the number of seats in the first five (5) rows Determine the number of seats in the eighth (8th) row iti. Calculate the total number of seats in the concert hall