The Second Gate You arrive at the gate that holds the spaceship. Your computer translates the password requirement as follows: Find the indefinite integral on the domain of positive real numbers for the following function: Gate Password: To appropriately translate the password, you will need to enter an exact answer. Your computer reminds you to include a "+ C" if appropriate, and that you should enclose arguments of functions in parentheses, such as sin (2x). To enter √a, type sqrt(a). ab f(x) = + A₂ sin (a) ∞ 11 10√x 8
The Second Gate You arrive at the gate that holds the spaceship. Your computer translates the password requirement as follows: Find the indefinite integral on the domain of positive real numbers for the following function: Gate Password: To appropriately translate the password, you will need to enter an exact answer. Your computer reminds you to include a "+ C" if appropriate, and that you should enclose arguments of functions in parentheses, such as sin (2x). To enter √a, type sqrt(a). ab f(x) = + A₂ sin (a) ∞ 11 10√x 8
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 Second Gate
You arrive at the gate that holds the spaceship. Your computer translates the password requirement as follows:
**Find the indefinite integral on the domain of positive real numbers for the following function:**
\[ f(x) = \frac{9}{x} + \frac{11}{10\sqrt{x}} \]
To appropriately translate the password, you will need to enter an exact answer. Your computer reminds you to include a "+ C" if appropriate, and that you should enclose arguments of functions in parentheses, such as \(\sin(2x)\). To enter \(\sqrt{a}\), type sqrt(a).
**Diagram Description:**
Below the instructions, there is an input panel with the following mathematical symbols and functions:
- \( a^b \): Button for exponentiation.
- \( \sin(a) \): Button for trigonometric function sine.
- \( \infty \): Button to enter the infinity symbol.
- \( \alpha \): Button to enter the Greek letter alpha.
There is an input box labeled "Gate Password:" where you are to enter the evaluated indefinite integral.
Example of how to input:
- For the integral of \(\frac{1}{x}\), which is \(\ln|x| + C\), you would type `ln(x) + C`.
- For \(\sqrt{x}\), you would use `sqrt(x)`.
Please ensure your answer is properly formatted to unlock the gate successfully.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff754e220-427d-4413-9e56-39a756e77625%2F593dcc42-02da-4c44-a571-c1273ef9323d%2Fgwmfhg_processed.png&w=3840&q=75)
Transcribed Image Text:### The Second Gate
You arrive at the gate that holds the spaceship. Your computer translates the password requirement as follows:
**Find the indefinite integral on the domain of positive real numbers for the following function:**
\[ f(x) = \frac{9}{x} + \frac{11}{10\sqrt{x}} \]
To appropriately translate the password, you will need to enter an exact answer. Your computer reminds you to include a "+ C" if appropriate, and that you should enclose arguments of functions in parentheses, such as \(\sin(2x)\). To enter \(\sqrt{a}\), type sqrt(a).
**Diagram Description:**
Below the instructions, there is an input panel with the following mathematical symbols and functions:
- \( a^b \): Button for exponentiation.
- \( \sin(a) \): Button for trigonometric function sine.
- \( \infty \): Button to enter the infinity symbol.
- \( \alpha \): Button to enter the Greek letter alpha.
There is an input box labeled "Gate Password:" where you are to enter the evaluated indefinite integral.
Example of how to input:
- For the integral of \(\frac{1}{x}\), which is \(\ln|x| + C\), you would type `ln(x) + C`.
- For \(\sqrt{x}\), you would use `sqrt(x)`.
Please ensure your answer is properly formatted to unlock the gate successfully.
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