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A curve has parametric equations: x=(t-1)^3 and y= 3t - 8/(t^2). Find dy/dx in terms of t. Then find the equation of the normal at the point on the curve where t=2.

dx/dt = 3(t-1)2dy/dt = 3 + 16t-3dy/dx=(dy/dt)(dt/dx) dy/dx = 3 + 16t-3 / 3(t-1)2
At t=2 dy/dx= (3 + 16/8) / 3 = 5/3 Gradient of the normal = -3/5with t=2 y...

JH
Answered by Jasmin H. Maths tutor
3969 Views

Explain one reason why the global shift of industry has had negative impacts on some people in the developed world.

To answer this question for four marks, all you need to do is identify one problem caused by the global shift (for one mark) and then expand on the problems this can lead to (for a further three marks). I...

EH
Answered by Esther H. Geography tutor
15055 Views

How can functions be transformed?

A function, y = f(x), with y on the vertical axis and x on the horizontal axis, can be transformed by 3 different ways: It can be stretched (or shrunk)If y = f(ax), the function is stretc...

JM
Answered by Jack M. Maths tutor
3237 Views

explain the eigenvalue problem

The eigenvalue problem is how we can find non-trivial solutions where x does not equal zero to the matrix equation;AX=LX (L=lambda)Values of the scalar L for which non-trivial solutions exist are calle...

KD
3455 Views

How would you write an essay about the use of different cinematic techniques in La Haine?

Writing a French a level essay is difficult because it tests both your knowledge of the set film or book (films are especially difficult as most students have never studied them before) and your ability t...

GJ
Answered by Gabriel J. French tutor
4901 Views

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