Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r = 5,s = -5 (Simplify your answer.)

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 Statement:**

Find \( \frac{\partial w}{\partial r} \) when \( r = 5 \) and \( s = -5 \) given the equations: 
\[
w = (x + y + z)^2
\]
where 
\[ 
x = r - s, \quad y = \cos(r + s), \quad z = \sin(r + s). 
\]

---

**Solution Step:**

Evaluate \( \frac{\partial w}{\partial r} \) at \( r = 5 \), \( s = -5 \).

---

**Expression to Simplify:**

\[
\left. \frac{\partial w}{\partial r} \right|_{r=5,\, s=-5} = \boxed{}
\]

(Simplify your answer.)
Transcribed Image Text:**Problem Statement:** Find \( \frac{\partial w}{\partial r} \) when \( r = 5 \) and \( s = -5 \) given the equations: \[ w = (x + y + z)^2 \] where \[ x = r - s, \quad y = \cos(r + s), \quad z = \sin(r + s). \] --- **Solution Step:** Evaluate \( \frac{\partial w}{\partial r} \) at \( r = 5 \), \( s = -5 \). --- **Expression to Simplify:** \[ \left. \frac{\partial w}{\partial r} \right|_{r=5,\, s=-5} = \boxed{} \] (Simplify your answer.)
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