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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![The image contains a mathematical expression:
\[ = -\rho^2 \sin(\phi) \cos^2(\phi) - \boxed{\rho \cos^2(\phi)} \quad \textcolor{red}{\text{✕}} \quad = -\rho^2 \sin(\phi). \]
The expression shows the simplification of a trigonometric equation:
1. The original equation is \( -\rho^2 \sin(\phi) \cos^2(\phi) - \rho \cos^2(\phi) \).
2. A box highlights the term \( \rho \cos^2(\phi) \), indicating a focus on this portion.
3. There is an error marked by a red cross \(\textcolor{red}{\text{✕}}\) before the simplification step.
4. The resulting expression simplifies to \( -\rho^2 \sin(\phi) \).
The visual guide highlights an incorrect step in reducing the expression, emphasizing the proper final result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39f6380b-55e3-47ff-8091-2f92e2b304db%2F0466e5ac-af73-439f-8510-b9e3cc20e95c%2Ffqksrhp_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression:
\[ = -\rho^2 \sin(\phi) \cos^2(\phi) - \boxed{\rho \cos^2(\phi)} \quad \textcolor{red}{\text{✕}} \quad = -\rho^2 \sin(\phi). \]
The expression shows the simplification of a trigonometric equation:
1. The original equation is \( -\rho^2 \sin(\phi) \cos^2(\phi) - \rho \cos^2(\phi) \).
2. A box highlights the term \( \rho \cos^2(\phi) \), indicating a focus on this portion.
3. There is an error marked by a red cross \(\textcolor{red}{\text{✕}}\) before the simplification step.
4. The resulting expression simplifies to \( -\rho^2 \sin(\phi) \).
The visual guide highlights an incorrect step in reducing the expression, emphasizing the proper final result.
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