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Therefore, y = x^xcan then natural log both sides leaving ln(y) = xln(x) then differentiating both sides wrst to x d/dx(ln(y)=xln(x))we are then left with this expression (dy/dx)(1/y)=ln(x)+1 mu...

Resolving all forces in the vertical gives the normal force as 10gcos(30). Resolving all forces normal to the slope gives the frictional force as 2gcos(30) (given Friction = mu*R). Using second law, F=ma....

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Create a smiling face with arrows between the terms and then go through and multiply the terms together.(Diagram of the smiling face)(x+4)(2x-3) = 2x² - 12 - 3x + 8x = 2x² + 5x - 12T...

These are simultaneous equations and we need to find the value of X and Y. We can use the elimination method. The coefficients (the amount the letter is being multiplied by) of X and Y do not match. First...