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Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefor...

Each vector line can be simplified into three separate equations in terms of the lines parameter and one of 'x,y and z.' This process can be done for both lines, creating six equations in total. By settin...

(x + 5)² - 5² - 6(x + 5)² - 25 - 6(x + 5)² - 31

Take the integral as 1 x ln(x) instead of just ln(x). Use integration by parts giving two terms, the first is now just xln(x) and the second is the integral of 1 dx. This is easy to integrate giving the f...

numerical answer x =-1/8 oe (or equivalent), but I am more interested in the method usedMy methodsimplify first fraction to 3x-1, multiply both sides by 3, collect like terms, divide through...