What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?

• A. 1
• B. 2
• C. 3
• D. 4

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

• A. 4
• B. 3
• C. 2
• D. 1

If y = 3 cos 4x, dy/dx equals?

• A. 6 sin 8x
• B. -24 sin 4x
• C. 12 sin 4x
• D. -12 sin 4x

Evaluate ∫sec²Î¸ dθ?

• A. sec θ tan θ + k
• B. tan θ + k
• C. 2sec θ + k
• D. sec θ + k

If log\(_{10}\)2 = 0.3010 and log\(_{10}\)7 = 0.8451, evaluate log\(_{10}\)280

• A. 3.4471
• B. 2.4471
• C. 1.4471
• D. 1.4071

Find the value of sin 45° - cos 30°

• A. \(\frac{2+\sqrt{3}}{4}\)
• B. \(\frac{\sqrt{2}+\sqrt{3}}{4}\)
• C. \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
• D. \(\frac{\sqrt{2}-\sqrt{3}}{2}\)

Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)

• A. 4
• B. 4¹/₆
• C. 4⁵/₆
• D. 5¹/₆

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

• A. 0 units per sec
• B. 15 units per sec
• C. 22 unit per sec
• D. 26 units per sec

If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?

• A. 1/√2 cm²
• B. 1 cm²
• C. √2 cm²
• D. 2√2 cm²

Subtract 16418₉ from 18630₉

• A. 1121₉
• B. 2112₉
• C. 2113₉
• D. 2211₉