Jamb Mathematics Past Questions For Year 1997
Question 31
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 32
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 33
\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to
- A. -sin(6x - 2)dx
- B. -sin(3x\(^2\) - 2x)dx
- C. (6x - 2) sin(3x\(^2\) - 2x)dx
- D. -(6x - 2)sin(3x\(^2\) - 2x)dx
Question 34
Integrate \(\frac{1}{x}\) + cos x with respect to x
- A. -\(\frac{1}{x^2}\) + sin x + k
- B. x + sin x - k
- C. ln|x| + sin x + k
- D. -\(\frac{1}{x^2}\) - sin x + k
Question 35
If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).
- A. \(\frac{11}{12}\)
- B. 1
- C. \(\frac{5}{6}\)
- D. zero
