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the line L goes through the points A (3,1) and B(4,-2). Find the equation for L.

First we need to consider what a straight line looks like: y = mx + c (if we get something different we've gone wrong somewhere)one way to get the equation is using a point (general point is (x 1 , y 1 ) ), ...
WM
Answered by Will M. • Maths tutor
10069 Views

The curve y = 4x^2 + a/x +5 has a stationary point. Find the value of the positive constant 'a' given that the y-coordinate of the stationary point is 32. (OCR C1 2016)

First, we must find the value of x that corresponds to the stationary point, i.e. where the gradient (dy/dx) is zero. This will be in terms of 'a' (if we change 'a,' we change the shape of the function by a ...
JW
Answered by Jayden W. • Maths tutor
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A block mass m lies on an incline rough plane, with coefficient of friction µ. The angle of the block is increased slowly, calculate the maximum angle of the slope that can be achieved without the block slipping.

First draw out the free body diagram for the problem, marking on all forces acting on the objects ie. the mass of the block and the reaction force normal to the plane and the forces acting due to friction. A...
CA
Answered by Cameron A. • Maths tutor
4811 Views

Given that the binomial expansion of (1 + kx) ^ n is 1 - 6x + 30x^2 + ..., find the values of n and k.

Setting (1 + kx) n equal to 1 - 6x + 30x 2 + ..., the binomial expansion can be applied to the LHS, by making use of the formula provided in the formula book. In this case, where x appears in the formula boo...
SG
Answered by Sanchit G. • Maths tutor
14967 Views

A curve has equation -2x^3 - x^2 + 20x . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

Lets think about what stationary points actually mean. A stationary point of a curve is where the gradient is equal to 0. Illustrate by plotting the graph of y = x^3.We know that by differentiating the equat...
TS
Answered by Torty S. • Maths tutor
4037 Views