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Find the points at which the equation y = x^2 - 12x + 35 intersects the x-axis.

To find the points at which an equation intersects the x-axis, we first need to factorise the equation to be able to find the solutions. To do this, we consider the general form of a quadratic equation ax^2 ...
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Answered by Sam H. • Maths tutor
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Differentiate y= exp(cos^2(x)+sin^2(x)) by using the chain rule.

First of all instead ,we'll define the chain rule , thus y can be rewritten as y = f (g(x)) , where f(x) = exp (x) and g(x) = cos^2(x) + sin^2(x). Therefore let y = f(u) , dy/dx = dy/du * du/dx , which then ...
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Answered by Ayman J. • Maths tutor
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The point P lies on a curve with equation: x=(4y-sin2y)^2. (i) Given P has coordinates (x, pi/2) find x. (ii) The tangent to the curve at P cuts the y-axis at the point A. Use calculus to find the coordinates of the point A.

To find the x coordinate of point P, we simply substitute in the value of y at P into the equation of the curve and solve for x = 4pi^2. (ii) To start, we can differentiate x with respect to y, by using the ...
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Answered by Tobias F. • Maths tutor
15181 Views

Solve the following simultaneous equations: 2x - y = 7 and x^2 + y^2 = 34

First, clearly write the two equations above one another, and label them (1) and (2). Rearrange the linear equation (the one with no squared variables) to make y the subject of the equation. You should get y...
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Answered by Tobias F. • Maths tutor
20653 Views

What other A Level subjects would be useful towards applying to do a Mathematics degree?

To compliment Mathematics, Further Mathematics would be an ideal subject to take. It is not essential, however the additional practice would benefit your understanding of Mathematics, easing you into even hi...
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Answered by Vene F. • Maths tutor
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