### Mathematics Past Questions

26
Evaluate: $$\int^{z}_{0}(sin x - cos x) dx \hspace{1mm} Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)$$
• A. $$\sqrt{2 +1}$$
• B. $$\sqrt{2 }-1$$
• C. $$-\sqrt{2 }-1$$
• D. $$1-\sqrt{2}$$
27
Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.
• A. 81 π cubic units
• B. 36 π cubic units
• C. 18 π cubic units
• D. 9 π cubic units
28
What is the derivative of t2 sin (3t - 5) with respect to t?
• A. 6t cos (3t - 5)
• B. 2t sin (3t - 5) - 3t2 cos (3t - 5)
• C. 2t sin (3t - 5) + 3t2 cos (3t - 5)
• D. 2t sin (3t - 5) + t2 cos 3t
29
Evaluate $$\int^{1}_{-2}(x-1)^{2}dx$$
• A. $$\frac{-10}{3}$$
• B. 7
• C. 9
• D. 11
30
Find the value of x for which the function y = x3 - x has a minimum value.
• A. $$-\sqrt{3}$$
• B. $$-\sqrt{\frac{3}{3}}$$
• C. $$\sqrt{\frac{3}{3}}$$
• D. $$\sqrt{3}$$