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Differentiate y=(x^2 + 2x)cos(3x)

Here we need to use the product rule in order to differentiate as we have two functions involved that are being multiplied together. Therefore we use the formula:dy/dx = u dv/dx + v du/dxFirst let u=(x^2 + 2...
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Answered by Katie B. • Maths tutor
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Tom starts with 50 balls. Amy starts with 28 balls. If Tom gives 22 balls to Amy, what percentage of balls does Tom have compared with Amy?

This question requires 2 logical steps. The first is to calculate how many balls Tom and Amy have after the transaction. The second is to use a formula to calculate the percentage of balls left . Reading the...
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Answered by Dominic D. • Maths tutor
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Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x 2 +6x +11this is a quadratic so we try to factorise it. x 2 +6x can be turned into (x+3) 2 -9 and we plus the 11 from the beginning so the final answer should look like (x+3) 2 +2 and thus p=3 and q=2.
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Answered by Abdullahi M. • Maths tutor
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Expand and simplify (x − 4)(2x + 3y)^2

Answer: 4x 3 + 12x 2 y + 9xy 2 - 16x 2 - 48xy - 36y 2
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Answered by Daisy H. • Maths tutor
4287 Views

Solve the following simultaneous equations: y-3x+2=0, y^2-x-6x^2=0

(1) y-3x+2=0 (2) y 2 -x-6x 2 =0 Using (1): y=3x-2 Sub y value into (2): (3x-2) 2 -x-6x 2 =0 Expand the brackets: 9x 2 -13x+4-x-6x 2 =0 Group terms: 3x 2 -13x+4=0 Factorise: (3x-1)(x-4)=0 Find roots (set brac...
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Answered by Phoebe A. • Maths tutor
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