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A curve has parametric equations -> x = 2cos(2t), y = 6sin(t). Find the gradient of the curve at t = π/3.

First we need to find the derivatives of x and y in terms of t. dx/dt can be found using the chain rule. Differentiating the inside of the bracket gives us 2. Multiplying the outside gives -2sin(2t) (Deri...

MM
Answered by Matvei M. Maths tutor
4130 Views

Solve 4 + 3(2x - 5) = x + 9.

4 + 3(2x - 5) = x + 9, 3(2x - 5) = x + 5, 6x - 15 = x + 5, 5x = 20, x = 20/5, x = 4

MC
Answered by Megan C. Maths tutor
6428 Views

How do I remember the common values of cosx, sinx and tanx?

To remeber the equations us SOH CAH TOA. This is Sinx = Opposite/Hypotenuse, Cos x = Adjacent/Hypotenuse and Tanx = Opposite/Adjacent. For values x=pi/3 and x=pi/6 always start by drawing an equilateral o...

BL
Answered by Becky L. Maths tutor
3143 Views

Simultaneous questions: 2x+y=7, 3x-y=8

First of all, you want to get both of the questions equating to y as this is a common factor between the two equations. SO y=7-2x and 3x-8=y As both of the equations are equal to y, we can set them equal ...

BJ
Answered by Bronnie J. Maths tutor
2827 Views

Expand the brackets: (x-3)(x+4)

First Multiply x by (x +4) Next multiply -3 by(x+4) Then simplify the sum : x2+4x-3x-12 Hence the answer is : x2+x-12

AN
Answered by Anthony N. Maths tutor
3180 Views

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