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The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m 1 = -1/m 2. This can then be used to find the gradient of the tangent by first find...
JA
Answered by James A. Maths tutor
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What should I write in my history essay introductions?

While there is no exact formula for what constitutes a good history essay introduction, with differences depending on the type of essay (for example, a timed exam or coursework) and the examination board, th...
HN
Answered by Hugh N. History tutor
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Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx 2 +bx+c=0This means it can be rearranged to(x+(b/2)) 2 =(b/2) 2 -cTaking the square root of both sides leaves us with x. x 2 -12x-45=0(x-(12/2)) 2 -(12/2) 2 -45 = 0(x-6) 2 -6 2 -...
EJ
Answered by Elsa J. Maths tutor
7042 Views

What’s the key thing that interviewers are looking for?

Interviewers fundamentally want to know whether you’ll be interesting to teach. “Supervisions”, or “tutorials”, are what makes the teaching at Oxbridge unique. A focus on regular, small group teaching is the...
DC
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Consider f(x)=x/(x^2+1). Find the derivative f'(x)

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anywher...
JH
Answered by Jack H. Maths tutor
4788 Views