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Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax 2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x 2 +5x ...
MJ
Answered by Matthew J. • Maths tutor
9405 Views

Express cos5x in terms of increasing powers of cosx

De Moivre's theorem: (cos5x + isin5x) = (cosx + isinx) 5 To get cos5x we will need to expand (cosx + isinx) 5 and then take the real parts. Binomial expansion: (cosx + isinx) 5 = (5C0)(cosx) 5 + (5C1)(cosx) ...
CS
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Integrate cos(2x)

The intergral for cosx is sinx, but '2x' must be considered. When differentiating a sinx/cosx function, the '2x' would be differentiated separately and placed in the front (multipling). So when intergating y...
GO
Answered by Gold O. • Maths tutor
18831 Views

The area of a rectangle is 8cm^2. The rectangle is (3x+1) by (2x+5). Find the value of x

Area of a rectangle is width times height (3x+1)(2x+5)= 6x 2 +15x+2x+5 6x 2 +17x+5 Set formula of area equal to known area value. 6x 2 +17x+5= 8 6x 2 +17x-3 = 0 (6x-1)(x+3)=0 (or use quadratic formula) x=-3 ...
CD
Answered by Conrad D. • Maths tutor
6659 Views

How should you structure paragraphs in your essay?

A strong introductory paragraph is crucial but it does not need to be too long, save your words for the middle section. As well as this, a strong concluding paragraph that links all your points together is i...
JV
4221 Views