Search our library of Maths questions

Top answers

Maths

All levels

f(x) = x^3 - 13x^2 + 55x - 75 , find the gradient of the tangent at x=3

f(x) = yy= x³- 13x² + 55x - 751) find f'(x) [=dy/dx] Differentiation is (1) multiplying the coefficient by the original power --> 2) reducing the original power by 1dy/dx = 3x

Answered by Kiitan O. • Maths tutor

3464 Views

Solve the simultaneous equations: 3x + 2y = 4 and 4x + 5y = 17

Step 1: multiply one or both equations so that the 2 equations have the same coefficient for either x or y (pick easier one) 5(3x + 2y) = 5(4) --> 15x + 10y = 20 AND 2(4x + 5y) = 2(17) --> 8x + 10y ...

Answered by Rania D. • Maths tutor

5012 Views

Solve 2sin2θ = 1 + cos2θ for 0° ≤ θ ≤ 180°

sin2θ = 2sinθcosθ (double angle formula for sine)cos2θ = cos²θ - sin²θ (double angle formula for cosine) = 2cos²θ - 1 (utilising the trignometric identit...

Answered by Samuel N. • Maths tutor

12373 Views

Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y − 2x = 5 (5 marks)

First consider each equation separately and label them with a number. x² + y² = 25 (1) y - 2x = 5 (2)This question is difficult as it involves squa...

Answered by Karisma S. • Maths tutor

10886 Views

Factorise y^2 + 27y and simplify w^9/w^4

y² + 27y = y(y + 27)To factorise you need to find the common factor between each part of the equation. In this case y is common between the different parts of the equation. Therefore you take y...

Answered by Lucy M. • Maths tutor

8014 Views