Answer:
The answer is
Step-by-step explanation:
To calculate the volumen of the solid we solve the next double integral:
Solving:
Replacing the limits:
The plane y=mx divides this volume in two equal parts. So volume of one part is 1.
Since m > 1, hence mx ≤ y ≤ 1, 0 ≤ x ≤
Solving the double integral with these new limits we have:
This part is a little bit tricky so let's solve the integral first for dy:
Replacing the limits:
Solving now for dx:
Replacing the limits:
As I mentioned before, this volume is equal to 1, hence:
Study all notes, reread the chapters again. Have someone ask questions on the chapters page by page. This always has worked for me. Plus try to do this again the night before the test. You will be surprised how much you can remember by doing it again the night before the test. Hope this helps.
Just one
11x+25=7x+15
11x - 7x = 15 -25
4x = -10
x = -10/4
x = -5/2