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Use the identity sin^2(y) + cos^2(y) = 1 to get the expression sin^2(3x) (1-sin^2(3x)) cos(3x) dx.Use the substitution u= sin(3x) by dividing the expression by the derivative, u’= 3cos(3x).The expression ...

The first thing you should do is Plan. You need to think about what points you will make, the responses and counter-responses you will discuss and how you will conclude.This is the best way to make sure y...

Firstly we can use the fact that cosx is the real part of e^ix. This means that the series above is the real part of the infinite series 1 + 1/2e^ix + 1/4e^2ix + ...... This means that we have an infinite...

Start by determining dot product. a.b = 1x0 + 4x6 + 8*-3 = 0as a.b = |a||b|cos(theta)cos(theta) = 0therefore theta = 90 degTherefore vectors are perpendicular

Stereoisomers are molecules that have the same structural and molecular formula but a different arrangement in space. An example of a common group of stereoisomers is from molecules with a carbon to carbo...