MAT / TMUA questions

C

loga is at the maximum when logb is at minimum, log b minimum is at 0

A

solve to get equations for x and y and then you realise both can be solved in that range

B

create inequalities for the 2 sides of the equation and figure out its range

B

square both sides and disc >= 0

B

consider 1 and -1, and when n is even and odd

C

D

find turning points

c

factorise to get x + 2y = 2^10

x = 2^10 - 2y

x >= 1 therefore 2^9 -1 >= y

A

figure out the range for both functions, realise that both sin² and cos² cannot be 1

B

D

draw graphs

C

when n = 3, It is only a cubic

C