2. (a) Evaluate ff(r+y) dA, where B [1,2| x -1,0]. Jse the chain rule to find if z ry and z=s+t° and y s-t, (b) and express your final answer in terms of s and t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 2:**

(a) Evaluate \(\iint_{B} (x+y) \, dA\), where \(B = [1, 2] \times [-1, 0]\).

(b) Use the chain rule to find \(\frac{\partial z}{\partial t}\) if \(z = xy\) and \(x = s + t^2\) and \(y = s - t\), and express your final answer in terms of \(s\) and \(t\).
Transcribed Image Text:**Problem 2:** (a) Evaluate \(\iint_{B} (x+y) \, dA\), where \(B = [1, 2] \times [-1, 0]\). (b) Use the chain rule to find \(\frac{\partial z}{\partial t}\) if \(z = xy\) and \(x = s + t^2\) and \(y = s - t\), and express your final answer in terms of \(s\) and \(t\).
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