Mathematics (ss3) Hi, Test your knowledge with our Mathematics questions! 1 / 20 If y = eˣ, find dy/dx 1/eˣ x·ln(e) x·eˣ eˣ 2 / 20 Find the argument of –1 + 0i 0° 270° 90° 180° 3 / 20 Find the value of log₁₀(1000) 2 0 3 10 4 / 20 Find ∫(5x² + 2x + 1) dx (5/3)x³ + x² + x + C (5/2)x² + 2x + C (5x³ + 2x² + x)/2 + C x³ + 2x² + 5x + C 5 / 20 The inverse of the function f(x) = x + 5 is: f⁻¹(x) = 1/x + 5 f⁻¹(x) = x – 5 f⁻¹(x) = 5x f⁻¹(x) = x + 5 6 / 20 What is the modulus of the complex number 3 + 4i? 5 7 4 √5 7 / 20 If sinA = 3/5 and A is acute, find cosA 5/3 1/2 4/5 √2 8 / 20 Solve: ∫(2x + 3) dx 2x² + 3x x² + x + C x² + 3x x² + 3x + C 9 / 20 Evaluate lim(x → 0) [sinx/x] 0 1 ∞ undefined 10 / 20 Find dy/dx if y = tanx sec²x cotx cos²x sinx 11 / 20 Find the area under the curve y = 3x between x = 0 and x = 4 12 48 24 6 12 / 20 Differentiate y = x⁴ – 2x² + 3 4x³ – 4x 4x² – 2x 3x³ – 2 4x - 2 13 / 20 What is the real part of 6 – 2i? -2 8 6 i 14 / 20 Solve: x² + 6x + 9 = 0 x = 0, –9 x = –1, –9 x = 3, –3 x = –3, –3 15 / 20 If z = 4 + 3i, find the conjugate of z 4 – 3i 3 + 4i –4 + 3i –4 – 3i 16 / 20 Differentiate y = sinx tanx secx cosx –cosx 17 / 20 Evaluate: ∫3 dx x² + C 3x + C x³ 3x 18 / 20 Evaluate lim(x → 2) [(x² – 4)/(x – 2)] 0 2 4 Does not exist 19 / 20 Find the integral: ∫x² dx 2x² + C (1/3)x³ + C x³ x³ + C 20 / 20 Find the derivative of y = ln(x) eˣ 1/x x ln(x) Your score isThe average score is 69% 0% Restart quiz
