Finding Surface Area In Exercises 1–14, find the area of the surface given by /(z=f(x, y)\) over the region (Hint: Some of the integrals are simpler in polar coordinates.)

\(f(x, y)=15+2 x-3 y\) R: triangle with vertices (0, 0), (3, 0), (0, 3), (3, 3)

Text Transcription:

z=f(x, y)

f(x, y)=15+2x-3y

Step 1 of 5) Euler’s Identity A complex number is a number of the form a + bi, where a and b are real numbers and i = 2-1 (see Appendix 8). If we substitute x = iu (u real) in the Taylor series for ex and use the relations