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A curve is defined by the parametric equations x=t^2/2 +1 and y=4/t -1. Find the gradient of the curve at t=2 and an equation for the curve in terms of just x and y.

To find the gradient of the curve at t=2 we need to find an expression for dy/dx and then substitute in for t=2. We can make use of the chain rule to find this expression because dy/dx = (dy/dt)/(dx/dt) a...

Answered by Steven C. • Maths tutor

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Solve the inequality. x^2 + 2x -15 > 0

To solve the inequality, it must first be factorised. This could be done by the ‘complete the square’ method. However in this example it is more efficient to find a pair of numbers that multiply to give t...

Answered by Elizabeth F. • Maths tutor

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From June 2015 Edexcel paper: Solve 7x + 8 = 2x – 3

Whenever you have a question asking you to solve an algebraic equation with only one unknown (x) you must put all 'x' terms on one side of the equation and all non-'x' terms on the other: 1. Take 2x away ...

Answered by John J. • Maths tutor

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The line L1 has an equation y=2x-2. What is the equation of the line L2 which is parallel to L1 and passes through the point (0,3)?

The first thing to immediately recall is that parallel lines have the same gradient. in the equation of a line (which is expressed in the y=mx+c format), the gradient (m) is the coefficient of x.

Answered by Hafsah B. • Maths tutor

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Solve the simultaneous equation 6x + 2y = -3, 4x - 3y =11

6x + 2y = -3 (1)*3 4x - 3y = 11 (2)*2 18x + 6y = -9 (1) 8x - 6y = 22 (2) (1) + (2) = 18x +8x + 6y - 6y = -9 + 22 => 26x = 13 => x = 1/2 sub x into (1) => (6 * 0.5) + 2y = -3 3 + ...

Answered by Aldouz P. • Maths tutor

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