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1)Take the inverse sin to take x from the sin(2x): 2x=arcsin(0.5). 2)Evaluate arcsin(0.5) to get pi/6: so 2x= pi/6 3)Dividing by 2 to simplify we get x=pi/12. 4)To find the second solution we note that (pi/2...

When you are differentiating, use the formula: The differential of ax^n is (n*a) x^(n-1). Or in words: 'multiply by the power, then reduce the power by 1.' Hence for our question, x^5 differentiates to 5x^(5...

The problem with this equation lies with the denominator on the left hand side. If we recall our graph of ln(x) however, we know that ln(x) is always positive and not equal to 0. Now we can safely multiply i...

Z is simply a general complex number, which can be written as Z = x+iyHere |Z-2+3i| = 1 can be written as |Z-(2-3i)| = 1, which is just an expression for every Z whose distance from the point (2,-3i) is equa...

The question says to use integration by parts on this question, but at the minute we only have one variable. Therefore, we introduce a 1, so that log|x|= 1*log|x|, here we have not altered the value of the f...