Search over 10,000 free study notes

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...

3x + 5y = 1   (eq 1)
2x - 3y = 7    (eq 2)

Step 1 -  2* (eq 1) 

6x + 10y = 2  (eq 3)

Step 2 - 3* (eq 2)

6x - 9y = 21  (eq 4)

The table is a cylinder so we'll need to use the equation for this shape: A = πr²h

We're looking for the thickness of the table (which is the height) so let's rearrange this equation to ...