Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5
1.404
1.790
2.598
2.790
Correct answer is C
loga 13.5 = loga 272
= 3loga 3 - log2a
= 3 x 1.097 - 0.693
= 2.598
Find the value of (0.006)3 + (0.004)3 in standard form
2.8 x 10-9
2.8 x 10-7
2.8 x 10-8
2.8 x 10-6
Correct answer is B
(0.006)3 + (0.004)3 = 2.16 x 10-7
(2.16 + 0.64) x 10-7
= 2.8 x 10-7
Evaluate 64.7642 - 35.2362 correct to 3 significant figures
2960
2950
2860
2850
Correct answer is B
(64.764 - 35.236)(64.764 + 35.236)
= 29.528 x 100
= 2950 to 3 sig. fig.
0
1
2
3
Correct answer is D
1x43+Px42+0x4+3=11510
16p + 67 = 115 p = 4816
= 3
For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o ≤ x ≤ 180o
1212
3212
5712
14712
Correct answer is C
y = 6 sin (2x - 25)o
dydx = -12 cos(2x - 25o)
dydx = 0
-12 cos x (2x - 25o) = 0
= cos(2x - 25o) = 0
= 2x - 25o = cos-1(0)
= 2x - 25o
= 90o
x = 1152