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A general way of solving these equations is getting them to the form sin(y)=k. In this case, to do so, we have to divide by 2 and then put y=3x+45° We then get si...
A general method would be to compute a and b with the general solution formula for quadratic equations. However, a special property of quadratic equations can make this a...
Here it is necessary to use the chain rule to solve the derivative. If we equate our equation in terms of the following notation: ln(x)='u'and 2x^2='v' and use the chain rule formula dy/dx=udv/dx+vdu/dx w...
To solve this equation, we need to collect all of the x^2 terms and the x terms together. To do this we should start by getting rid of the fraction on the left-hand side by multiplying both sides by the d...
Multiply whole equation by x-4 and then 2x+1 (would do this one step at a time but must conserve space here):
(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)
Expand brackets:
(4x^2+8x+3)-(2x^2-1...
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