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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 t...

TF
Answered by Tobias F. Maths tutor
13246 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 ge...

TF
Answered by Tobias F. Maths tutor
19024 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...

VF
Answered by Vene F. Maths tutor
2986 Views

What will make me stand out from other candidates also applying for medical school?

Most importantly, that you showcase your personality and transfer this to paper. They want to see that you are well-rounded person and not just academic. This is because Medicine isn't just about 5/6 year...

IM
1980 Views

How do I approach the 8-10 mark questions on a paper?

Firstly, don't panic! These questions are always either a description of a process (so you can learn it off by heart), or an analysis of information that is given to you. Although it's not advisable to wr...

LC
Answered by Lydia C. Biology tutor
10632 Views

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