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Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.

In order to use the binomial expansion, we must have an 'x' with no coefficients - so no number before it.
So we take out a factor of 2:(2(x+3))^5
We can then simplify to:32(x+3)^5
by expa...

Answered by Sophie C. • Maths tutor

4019 Views

Find a solution for the following simultaneous equations: 2x+y=5 and 2x-5y=2

Subtract the 2nd equation from the first: 2x--2x+y+6y=5-2 <=> 7y=3 <=> y=3/7Input the value of y into one of the equations: 2x+3/7=5 <=> 2x=(35-3)/7 <=> x=16/7

Answered by Darshil C. • Maths tutor

3625 Views

How would you differentiate a function such as 4x^3

The general rule for differentiating functions such as 4x^3 is called the power rule.This formula goes by dy/dx of [x^n] = nx^(n-1)Now this may seem complicated but with examples hopefully it should becom...

Answered by Adam W. • Maths tutor

3677 Views

“A chip off the old block.” By considering Shakespeare’s dramatic presentation of Cordelia in King Lear, evaluate this view.

Cordelia is irrevocably loyal to her father, whereas Lear is quick to dismiss Cordelia as his daughter and banish her to France. For example, Cordelia’s response to the love test: “I shall never marry lik...

Answered by Sabina M. • English Literature tutor

4411 Views

¿ En tu opinión, la tecnología es beneficiosa o perjudicial para una sociedad?

Por un lado, está claro como el agua que si hay beneficiosos de la tecnología. Nos permite hablar y quedarse en contacto con amigos lejos que residen en otros países, algo bastante útil en nuestro mundo. ...

Answered by Raphael L. • Spanish tutor

2017 Views