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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 ...

KB
Answered by Katie B. Maths tutor
3601 Views

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 ...

DD
Answered by Dominic D. Maths tutor
3219 Views

Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +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+...

AM
Answered by Abdullahi M. Maths tutor
4967 Views

Expand and simplify (x − 4)(2x + 3y)^2

Answer: 4x3 + 12x2y + 9xy2 - 16x2 - 48xy - 36y2

DH
Answered by Daisy H. Maths tutor
3834 Views

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

(1) y-3x+2=0
(2) y2-x-6x2=0
Using (1): y=3x-2
Sub y value into (2): (3x-2)2-x-6x2=0
Expand the brackets: 9x2-13x+4-x-6x

PA
Answered by Phoebe A. Maths tutor
7802 Views

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