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First of all, I would ask the student what they think the question means and whether they have encountered a question like this before, so that I know where to start from. If the student is more of a visu...

First of all, we separate what is multiplying the X from what is not, 12x-4x>12+4 (don't forget the change of sign while passing from one side to another). Then we operatem 8x>16. Finally, x>16/2...

This problem will be solved using the integration by parts method, taking the integrated function as udv which answer is uv-(integration of vdu) : u=x and dv=cos(x) so, du=dx and v=sin(x). We have, xsin(x...

First of all, we operate the parenthesis obtaining 2x+1+3=8. Operating then, 2x+4=8, and leaving everything that depends on x in one side, 2x=8-4 (remember to change the sign when passing from one side of...

the derivative of sinx is cosx, then we know that we can apply the product rule to find derivative of xsinx, such that if we let u=x and v=sinx and apply the formula d/dx(xsinx)=udv/dx+vdu/dx. to...