I am a 20 year old electrical engineering student with over 2 years experience tutoring mathematics at a college level, from pre-algebra to calculus 3 and linear algebra. I am aspiring to be a professor, and I love learning new things, which is why I love tutoring, as I learn more the more I teach others. I am really glad to be considered for this opportunity at Numerade. I have a lot to contribute and I think my talents really fit in here.
Use the result of Exercise 17 to show that$$0 \leqslant \iint_{R} \sin \pi x \cos \pi y d A \leqslant \frac{1}{32}$$where $R=\left[0, \frac{1}{4}\right] \times\left[\frac{1}{4}, \frac{1}{2}\right]$
