Jamb Mathematics Questions
Question 31:
The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?
- A \(\frac{20}{√3}\)m
- B \(\frac{40}{√3}\)m
- C 20√3m
- D 40√3m
Question 32:
In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.
- A √23cm
- B √13cm
- C 2√5cm
- D 2√3cm
Question 33:
Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x
- A \(\frac{2 + 2}{3x^3}\)
- B 2 + \(\frac{1}{6x}\)
- C 2 - \(\frac{2}{3x^3}\)
- D \(\frac{1}{5}\)
Question 34:
\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to
- A -sin(6x - 2)
- B -sin(3x2 - 2x)dx
- C (6x - 2) sin(3x2 - 2x)
- D -(6x - 2)sin(3x2 - 2x)
Question 35:
Integrate \(\frac{1}{x}\) + cos x with respect to x
- A -\(\frac{1}{x^2}\) + sin x + k
- B X + sin x - k
- C X - sin x + k
- D -\(\frac{1}{x^2}\) - sin x + k