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Express 6cos(2x)+sin(x) in terms of sin(x). Hence solve the equation 6cos(2x) + sin(x) = 0, for 0° <= x <= 360°.

Firstly, we need to express 6cos(2x) + sin(x) in terms of sin(x) 6cos(2x) + sin(x) = 6cos(x+x) + sin(x) = 6cos2(x) - 6sin2(x) + sin(x) (applying cos(x+y) = cos(x)cos(y) - sin(x)sin(y...

Answered by Dilan A. Maths tutor
3751 Views

A curve has equation x^2 +2xy–3y^2 +16=0. Find the coordinates of the points on the curve where dy/dx = 0.

x2 +2xy–3y2+16=0Differentiate the terms:x2 gives 2x2xy is differentiated by the product rule: vu' +v'u Make v = 2x and u = y, which gives 2x(dy/dx) + 2y3y2 give...

Answered by Dilan A. Maths tutor
10245 Views

How should you structure your essay? Example: How far do you agree that Friendly Societies and cooperatives did more than trade unions to promote the interest of the working class between 1830-1870?

Introduction - define & your argument
YesFS: - supported by governmentover 4 million members by 1870However, required subscriptionCooperatives:- Rochdale pioneers examplenew lanark an example, 25...

Answered by Nicholas S. History tutor
1753 Views

Evaluate the view that all firms aim to profit maximise

Firms can maximise profits by producing at where MR=MC. Firms who are for-profit organisations, such as Apple, will look to profit maximise, in order to maximise dividends for owners and increase retained...

Answered by Dilan A. Economics tutor
22725 Views

Solve the following simulatenous equation to find the values of both x and y: 5x+2y=16 3x-y=14

x=4, y=-2

Answered by Oliver G. Maths tutor
2789 Views

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