The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

A. 2

B. t

C. -t

D. -2

Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.

A. 0.157

B. 0.154

C. 0.155

D. 0.158

If y = 2x³ + 6x² + 6x + 1, Find \(\frac{dy}{dx}\)

A. 6x² + 12x + 1

B. 6x² + 6x + 1

C. 6x² + 6x + 6

D. 6x² + 12x + 6

The nth term of the sequence 3, 9, 27, 81.....is

A. 3 x 3^n-2

B. 3 x 3^n-1

C. 3 x 3ⁿ⁺²

D. 3 x 3ⁿ⁺¹

Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)

A. 2

B. \(\frac{1}{3}\)

C. 1

D. \(\frac{2}{3}\)

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

A. 720 litres

B. 160 litres

C. 225 litres

D. 960 litres

Find \(\frac{dy}{dx}\). If y = 3x³ + 2x² + 3x + 1

A. 9x² + 4x + 3

B. 9x² - 4x - 3

C. 9x² + 4x - 3

D. 9x² - 4x + 3

Evaluate \(\int\)(sinx - 5x²)dx

A. -cosx - 10x + k

B. cosx - \(\frac{5x^3}{3}\) + k

C. -cosx - \(\frac{5x^3}{3}\) + k

D. cosx - 10x + k

If N = \(\frac{p}{2}\)(\(\frac{T_1 - T_2}{T_1}\)). Find P when N = 12, T₁ = 27 and T₂ = 24.

A. 48

B. 108

C. 54

D. 216

Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12

A. \(\frac{3}{4}\), 1

B. \(\frac{4}{3}\), 1

C. \(\frac{3}{4}\), -1

D. \(\frac{4}{3}\), -1