3. Evaluate (r + 2y) dA where R is the triangle with vertices (0,3), (4, 1) and (2, 6) using the transformation x = }(u – v), y = }(3u+ v + 12) to R.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
icon
Related questions
Question

Please answer question no. 3 for me. Thank you

4 Sets - Google Drive
+
->
A drive.google.com/drive/folders/1oKZyoGralNcxCgH9SylWMN3cAu36zoCZ
1. Find the volume of the solid enclosed between the paraboloids z = 5x² + 5y?
and z = 6 – 7.x² – y² using tripple integral.
2. Use spherical coordinates to evaluate the integral:
9-22-y?
V
9-x²-y²
x² + y² + z² dz dx dy.
9-y2
3. Evaluate
(x + 2y) dA where R is the triangle with vertices (0,3), (4, 1)
and (2,6) using the transformation x = }(u – v), y = }(3u + v + 12) to R.
8:03 PM
P Type here to search
91°F Haze
3/23/2022
近
Transcribed Image Text:4 Sets - Google Drive + -> A drive.google.com/drive/folders/1oKZyoGralNcxCgH9SylWMN3cAu36zoCZ 1. Find the volume of the solid enclosed between the paraboloids z = 5x² + 5y? and z = 6 – 7.x² – y² using tripple integral. 2. Use spherical coordinates to evaluate the integral: 9-22-y? V 9-x²-y² x² + y² + z² dz dx dy. 9-y2 3. Evaluate (x + 2y) dA where R is the triangle with vertices (0,3), (4, 1) and (2,6) using the transformation x = }(u – v), y = }(3u + v + 12) to R. 8:03 PM P Type here to search 91°F Haze 3/23/2022 近
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,