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How would you solve the inequality x^2-2x-8 >= 0?

We are looking for all the x values for which this equation holds. We know how to solve quadratic equations without the inequalities, and that is the first step here! So let's forget about the greater than p...
KG
Answered by Kirsty G. Maths tutor
21014 Views

Intergrate 8x^3 + 6x^(1/2) -5 with respect to x

2x 3 + 4x 3/2 - 5x + cGeneral rule for integration is increase the power by 1 then divide by the new powerAlways remember +C !!!!!!!
TM
Answered by Tia-Marie M. Maths tutor
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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 expanding out 2^5. Now ...
SC
Answered by Sophie C. Maths tutor
4403 Views

What is differentiation

Differentiation is a mathematical operation which we can use to study how one quantity, such as the distance travelled by a train, is affected by another quantity, such as time. For example, if the train is ...
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Answered by Oliver B. Maths tutor
3732 Views

What is the derivative of y = (3x-2)^1/2 ?

Use the chain rule, u = 3x-2dy/dx = dy/du du/dxdy/du = d(u^1/2)/du = 1/2 u ^-1/2power down and minus 1du/dx = 3constants =0so, dy/dx = 3 1/2 (3x-2)^-1/2= 3/2 (3x-2)^-1/2
CJ
Answered by Chloe J. Maths tutor
10130 Views