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Factorise x^(2)+5x+6

To factorise we must think what two numbers add up to 5 but times together to get 6. We know it is two numbers because it is x^(2). If it was x^(3) there could be 3 numbers, ect. We think what goes into 6...

TJ
Answered by Tanya J. Maths tutor
3055 Views

integrate (2x)/(x^2+1) dx with limits 1, 0

Firstly we notice that the numerator is the derivative of the denominator so we can use integration by subsitution method. Setting u=x^(2)+1. We can differentiate this to get du/dx=2x Subbing in dx=du/2x ...

TJ
Answered by Tanya J. Maths tutor
3856 Views

What is mathematical induction and how does it work?

Mathematical induction is a method of proving if a mathematical statement is true for all natural numbers. To start with, I am going to give an analogical example in order to have a better understanding. ...

BD
Answered by Borja D. Maths tutor
2837 Views

A 2.4 m long plank of mass 20kg has 2 pins, each 0.5 meters from each respective plank end. A person of mass 40kg stands on the plank 0.1m from one of the pins. Calculate the magnitude of reactions at the pins for this structure to be in equilibrium.

1.) draw what is happening: 2.)Notice key points of questions: Plank is in equilibrium. This means that all forces=0 and all moment=03.) Apply force equilibrium: 4.) Apply moment equilibrium5.) fin...

ST
Answered by Samuel T. Maths tutor
2641 Views

Solve 5x + 3 = 45

5x + 3 = 455x + 3 - 3 = 45 - 3 (subtract 3 from both sides)5x = 42(5x)/5 = 42/ 5 (divide both sides by 5)x = 8.4 (can either be expressed as a decimal or as fraction)

CA
Answered by Caroline A. Maths tutor
3463 Views

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