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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 ...

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. ...

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...

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)

Formula for the Area of a triangle: A = (base x height)/ 2
Here we have three identical triangles.
Therefore the formula for the Area of the three triangles: A = (b x h) x 3 / 2 = A of trapeziu...