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Like all equations, you're going to start off by getting all the x's on the same side of the = side and all the rest on the other side. So we start off with 7x-14=4x+7. Moving the x's to one side means th...

This question is asking us to place a number in the place of their corresponding letter, so as the letter a is attached to the number two, whenever we see the letter a in the equation we would replace it ...

cos(x+a)=cosxcosa-sinxsina so cosa=5 sina=3 which means tana=3/5 a=0.54 RADIANS R=sqrt(5²+3²). =sqrt(34) so sqrt(34)cos(x+0.54)

The easiest way to solve a simultaneous equation is by the method of substitution. First of all, we take the first equation, and rearrange it so that it is in terms of y. Or, in other words, rearrange it ...

sin cos -sin -cos (down is differentiate and up is integrate) so, y = sin5x  dy/dx = 5cos5x y=3cox      dy/dx = -3sinx y=3tan5x     dy/dx = 15sec²(5x) (remember sec(x) is the reciprocal of cos(...