2 √100-912 found that the antiderivative is 2t + C, you would enter 2t. I Find the indefinite integral Provide your answer below: dt. Do not include the constant "+C" in your answer. For example, if you
2 √100-912 found that the antiderivative is 2t + C, you would enter 2t. I Find the indefinite integral Provide your answer below: dt. Do not include the constant "+C" in your answer. For example, if you
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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![### Indefinite Integral Calculation
**Problem Statement:**
Find the indefinite integral:
\[ \int \frac{2}{\sqrt{100 - 9t^2}} \, dt \]
Do not include the constant "+C" in your answer. For example, if you found that the antiderivative is \(2t + C\), you would enter \(2t\).
**Answer Box:**
Provide your answer below:
```
[Answer Input Box]
```
---
### Surface Area of a Revolved Curve
**Problem Statement:**
Consider the curve \( f(y) = 7y^5 \) over the interval \(0 \le y \le 1 \). Use a calculator to find the surface area generated by revolving the graph of \( f(y) \) about the y-axis.
Round your answer to the nearest hundredth.
**Answer Box:**
Provide your answer below:
```
[Answer Input Box]
```](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa79c18d0-6a0e-4a38-9496-04f82bd62d69%2F8416f61f-cd37-46f6-9aaf-bf1b5da7d565%2Fybduyen_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Indefinite Integral Calculation
**Problem Statement:**
Find the indefinite integral:
\[ \int \frac{2}{\sqrt{100 - 9t^2}} \, dt \]
Do not include the constant "+C" in your answer. For example, if you found that the antiderivative is \(2t + C\), you would enter \(2t\).
**Answer Box:**
Provide your answer below:
```
[Answer Input Box]
```
---
### Surface Area of a Revolved Curve
**Problem Statement:**
Consider the curve \( f(y) = 7y^5 \) over the interval \(0 \le y \le 1 \). Use a calculator to find the surface area generated by revolving the graph of \( f(y) \) about the y-axis.
Round your answer to the nearest hundredth.
**Answer Box:**
Provide your answer below:
```
[Answer Input Box]
```
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