ABSTRACT
Make the shear modulus G the subject of the formula. (4)
5. Solve the following equations by factorisation:
(a) x2 − 9 = 0 (b) 2x2 − 5x − 3 = 0 (6)
6. Determine the quadratic equation in x whose roots are 1 and −3 (4)
7. Solve the equation 4x2 − 9x + 3 = 0 correct to 3 decimal places. (5)
8. The current i flowing through an electronic device is given by:
i = 0.005 v2 + 0.014 v where v is the voltage. Calculate the values of v when i = 3 × 10−3 (5)
9. Solve the following inequalities:
(a) 2 − 5x ≤ 9 + 2x (b) |3 + 2t| ≤ 6
(c) x − 1 3x + 5 > 0 (d) (3t + 2)
2 > 16
(e) 2x2 − x − 3 < 0 (14) 10. Evaluate log168 (3) 11. Solve
(a) log3 x =−2 (b) log 2x2 + log x = log 32 − log x (6)
12. Solve the following equations, each correct to 3 significant figures:
(a) 2x = 5.5 (b) 32t − 1 = 7t+2 (c) 3e2x = 4.2 (10)
