Jamb Mathematics 2007 Past Questions and Answers

Question 11:

• JAMB 2007

Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x

A. \(\frac{x^2}{2}-2\sqrt{x}+K\)
B. \(\frac{2(x^2 - x)}{3x}+K\)
C. \(\frac{x^2}{2}-\sqrt{x}+K\)
D. \(\frac{(x^2 - x)}{3x}+K\)

Question 12:

• JAMB 2007

If y = x cos x, find dy/dx

A. Sin x - x cos x
B. Sin x + x cos x
C. Cos x + x sin x
D. Cos x - x sin x

Question 13:

• JAMB 2007

Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value

A. ²/₃
B. 1
C. - ²/₃
D. - 1

Question 14:

• JAMB 2007

Determine the value of \(\int_0 ^{\frac{\pi}{2}
}(-2cos x)dx\)

A. -2
B. -¹/₂
C. -3
D. -³/₂

Question 15:

• JAMB 2007

A binary operation ⊕ on real numbers is defined by x ⊕ y = xy + x + y for any two real numbers x and y. The value of (-³/₄) ⊕ 6 is

A. ³/₄
B. -⁹/₂
C. ⁴⁵/₄
D. -³/₄