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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...

The function in terms of x should be broken down into two easier to integrate functions, like so f(x) = g(h(x)). if we say that u=h(x) is our substitution then we can integrate in terms of u now, however ...

Expand sin(2x) to 2sin(x)cos(x) so you have 6(2sin(x)cos(x))sec(x). cos(x) and sec(x) cancel out so the expression becomes 12sin(x) + 5cos(x). compare this to the expanded version of Rsin(x+a) which is Rs...

Something multiply 3/5 = 162Think of this something as a piece of cake. Now this cake has been equally sliced into 5 pieces. 3 pieces of the cake is worth 162 (let's give it a value, pound, dollar, or any...