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 (3) 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 = 0.005v2 + 0.014v 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)
(e) 2x2 − x−3<0 (14) 10. Evaluate log168 (3) 11. Solve
(a) log3 x=−2 (b) log2x2 + log x= log 32− log x (c) log(x2 + 8)− log(2x) = log3 (11)
12. Solve the following equations, each correct to 3 significant figures:
(a) 2x =5.5 (b) 32t−1 =7t+2 (7)
