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2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using alg...
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Answered by Robbie M. • Maths tutor
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Use de Moivre’s theorem to show that, (sin(x))^5 = A sin(5x) + Bsin(3x) + Csin(x), where A , B and C are constants to be found.

State de Moivre's theorem. Use n =5 and solve. I'll show this on the whiteboard.
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When do you use a capital letter in German?

In German, capital letters are only used for nouns and names and after full stops. You can recognize nouns by spotting articles in front of them (e.g der, die, das / ein, eine). It is important to remember t...
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Answered by Josephine M. • German tutor
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When do you use “a”, “as” or “à” in French?

“a” is the verb “avoir” (to have) conjugated in the present tense, third person singular (Il/elle a = he/she has). e.g : Il a du chocolat à He HAS chocolate. “as” is similarly the verb “avoir” but with the s...
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Answered by Josephine M. • French tutor
20986 Views

when given that y is 20% bigger than x, how can you express this as a ratio of y to x?

First of all, as with every question, we need to write down the information we have. so we know that y is 20% bigger than x meaning y=1.2x. this is because to increase x by 20% you need to multiply by 1.2 wh...
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Answered by Samson G. • Maths tutor
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