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4. Evaluate a double integral by converting from rectangular coordinates. (r + y) dA where , R = {(x,y)|1< r² + y? < 4, x < 0} 5. Evaluate vy² + 2 dy dx by first reversing the order of integration. 6. Do the following tasks using Mathematica. y = sinh (x) y = e I = 0 x = 2

4. Evaluate a double integral by converting from rectangular coordinates. (r + y) dA where , R = {(x,y)|1< r² + y? < 4, x < 0} 5. Evaluate vy² + 2 dy dx by first reversing the order of integration. 6. Do the following tasks using Mathematica. y = sinh (x) y = e I = 0 x = 2

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 11CR
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1. a)Evaluate a double integral by converting from rectangular coordinates.
       ∫∫R(x + y) dA where , R = {(x, y)| 1 ≤ x^2 + y^2 ≤ 4, x ≤ 0}

   b) Please solve no. 5) from the image attached. Thanks. Also, if you face problem understanding part a, you can look at no. 4) of the image. Thanks again.

4. Evaluate a double integral by converting from rectangular coordinates. /| r + y) dA where , R= {(x, y)|1< x² + y? < 4, x < 0} 5. Evaluate Vy? +2 dy dx by first reversing the order of integration. 6. Do the following tasks using Mathematica. y = sinh (x) y = e= x = 0 x = 2
Transcribed Image Text:4. Evaluate a double integral by converting from rectangular coordinates. /| r + y) dA where , R= {(x, y)|1< x² + y? < 4, x < 0} 5. Evaluate Vy? +2 dy dx by first reversing the order of integration. 6. Do the following tasks using Mathematica. y = sinh (x) y = e= x = 0 x = 2
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