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This question requires you to use the trigonometric identity sin(A+B)=sinAcosB + sinBcosA. The difficulty in this problem is noticing that you need to substitute 2A for A+A and then you can simply put thi...

Considering the smallest possible value of N will mean finding the smallest possible values of a and b to give the minimum N. As a must be a square number, let's consider the square numbers: 1 squared is ...

Let 2a-5b=11 be Equation 1 and 3a+2b=7 be Equation 2. To find a and b, we first need to eliminate one of these variables from the equation. Firstly we can eliminate a from both equations to find b. To do ...

Since the equation for y is a composite function (applying one function to another function) we need to use the chain rule to answer this question. Firstly let u = x^2+1 . This allows us to write y = 2u^3...

All you have to do for 9.02x10^-3 is put 0.00902 which is basically putting 0.(because of 10^-3) and move two decimal places and put 902. 2.6x10^5 is a positive power of 10 hence you have to add four zero...