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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Please help me with this question.
![Consider the following.
\[ A = \frac{\pi}{7}; \quad B = 3 \]
### Graph Explanation
The image shows a graph of a sinusoidal wave, which could represent either a sine or cosine function. The key points indicated on the graph are:
- The y-axis with label \( y \)
- The x-axis with label \( x \)
- The origin point (O, B)
- Amplitude points at \(-A\) and \(A\) on the x-axis.
The wave appears to start from the maximum point at the origin (0, B) and follows a downward slope towards a minimum point, indicating a typical cosine wave form.
### Tasks
(a) Find a cosine function whose graph matches the given curve.
\[ y = \_\_\_\_\_\_\_\_\_\_ \]
(b) Find a sine function whose graph matches the given curve.
\[ y = \_\_\_\_\_\_\_\_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a328885-7641-4d6d-85af-435d99e02dcf%2Ff81f9110-990f-4b9e-9dca-f8c4f80f1def%2Fpl17kg8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following.
\[ A = \frac{\pi}{7}; \quad B = 3 \]
### Graph Explanation
The image shows a graph of a sinusoidal wave, which could represent either a sine or cosine function. The key points indicated on the graph are:
- The y-axis with label \( y \)
- The x-axis with label \( x \)
- The origin point (O, B)
- Amplitude points at \(-A\) and \(A\) on the x-axis.
The wave appears to start from the maximum point at the origin (0, B) and follows a downward slope towards a minimum point, indicating a typical cosine wave form.
### Tasks
(a) Find a cosine function whose graph matches the given curve.
\[ y = \_\_\_\_\_\_\_\_\_\_ \]
(b) Find a sine function whose graph matches the given curve.
\[ y = \_\_\_\_\_\_\_\_\_\_ \]
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