Mathematics (ss3) Hi, Test your knowledge with our Mathematics questions! 1 / 20 If y = eˣ, find dy/dx x·ln(e) x·eˣ eˣ 1/eˣ 2 / 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) = x – 5 f⁻¹(x) = 5x 3 / 20 If sinA = 3/5 and A is acute, find cosA √2 1/2 4/5 5/3 4 / 20 What is the real part of 6 – 2i? -2 i 6 8 5 / 20 Differentiate y = x⁴ – 2x² + 3 3x³ – 2 4x² – 2x 4x³ – 4x 4x - 2 6 / 20 Find the area under the curve y = 3x between x = 0 and x = 4 48 12 24 6 7 / 20 Find ∫(5x² + 2x + 1) dx (5x³ + 2x² + x)/2 + C x³ + 2x² + 5x + C (5/2)x² + 2x + C (5/3)x³ + x² + x + C 8 / 20 Find the integral: ∫x² dx 2x² + C x³ + C (1/3)x³ + C x³ 9 / 20 Solve: ∫(2x + 3) dx 2x² + 3x x² + 3x x² + 3x + C x² + x + C 10 / 20 Evaluate lim(x → 0) [sinx/x] ∞ 1 undefined 0 11 / 20 Solve: x² + 6x + 9 = 0 x = 3, –3 x = –3, –3 x = –1, –9 x = 0, –9 12 / 20 Evaluate: ∫3 dx x³ x² + C 3x 3x + C 13 / 20 Find the value of log₁₀(1000) 0 10 3 2 14 / 20 Find the argument of –1 + 0i 90° 0° 270° 180° 15 / 20 Evaluate lim(x → 2) [(x² – 4)/(x – 2)] 4 2 0 Does not exist 16 / 20 What is the modulus of the complex number 3 + 4i? √5 4 5 7 17 / 20 Find dy/dx if y = tanx cotx sinx sec²x cos²x 18 / 20 Find the derivative of y = ln(x) eˣ 1/x x ln(x) 19 / 20 Differentiate y = sinx –cosx secx tanx cosx 20 / 20 If z = 4 + 3i, find the conjugate of z –4 – 3i –4 + 3i 4 – 3i 3 + 4i Your score isThe average score is 57% 0% Restart quiz
