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First of all, we have to use the product rule, since two things are multiplied together. The product rule states that d/dx (u*v) = vu' + uv' Let u = (4x+3) 5 v = sin(2x) Now, to find u' and v' we have to fin...

x^2+5x+6=0 When solving quadratic equations our goal is to revert back into the form (x+a)(x+b) from the form ax^2+bx+c Thus we need to have a method when completing this: A good method in this case is that ...

Number of thirds in 1 = 3 Number of thirds in 9 = (number of thirds in 1) * 9 = 27 thirds

nth term= 4n-1

2cos(2x) = 1-2sin(x) 2(1-2sin 2 (x)) = 1-2sin(x) -- by our trigonometric functions 2-4sin 2 (x) = 1-2sin(x) 4sin 2 (x)-2sin(x)-1=0 -- rearrange sin(x) = (2±(4-4(4)(-1)) 0.5 )/8 -- quadratic formula x = 54 &a...