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The curve A (y = x3 – x2 + x -1) is perpendicular to the straight-line B at the point P (5, 2). If A and B intersect at P, what is the equation of B? Also, find any stationary points of the curve A.

Firstly find the gradient of A, through differentiation: dy/dy = 3x 2 – 2x + 1. To find the gradient at P, substitute the x value of the P coordinate into this equation: dy/dx = 3(2) 2 – 2(2) + 2 = 12 – 4 + ...
JS
Answered by James S. • Maths tutor
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C2 differentiate 2x^2 -3x +4 with respect to X

answer is 4x-3
EC
Answered by Eloise C. • Maths tutor
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(M1) What direction does friction act in? What are the friction equations both generally and in limiting equilibrium? What does it mean for a system to be in equilibrium?

Friction always acts in the opposite direction to motion (or the potential motion) and Friction (Fr) acts as follows: In every case: Fr ≤ 𝜇R (where 𝜇 is the coefficient of friction and R is the reaction forc...
JS
Answered by Jasmine S. • Maths tutor
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How do you use the completing the square method to solve a quadratic equation?

First you need to get the quadratic equation in completed square form. This looks like: (x+p)^2 + q To put an expression in completed square form you can use this formula: x^2 + 2bx + c = (x+b)^2 - b^2 + c O...
CP
Answered by Caroline P. • Maths tutor
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Solve 5x - 2 > 3x + 11

When solving inequalities the first step is to put the unknown, in this case x, on the same side of the inequality sign. Remember when you move values to the other side of a sign they change their charge as ...
SR
Answered by Sarina R. • Maths tutor
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