in each line, give an approximate value in decimals using calulator.

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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in each line, give an approximate value in decimals using calulator. 

### Mathematics Sequence Problems

This content lists several expressions involving exponential and trigonometric functions. Each expression is related to a series of diagrams involving blocks or boxes.

#### Expressions and Corresponding Diagrams:

1. **Expression (10)**: 
   \[
   \sqrt{2\pi} \, 11^{0 + \frac{1}{2}} e^{-11 \, e^{\frac{1}{11 \cdot 12}}} = 
   \]
   Diagram:
   - The diagram consists of 10 empty boxes.

2. **Expression (11)**: 
   \[
   \sqrt{2\pi} \, 12^{1 + \frac{1}{2}} e^{-12 \, e^{\frac{1}{12 \cdot 13}}} = 
   \]
   Diagram:
   - The diagram consists of 11 empty boxes.

3. **Expression (12)**:
   \[
   \sqrt{2\pi} \, 13^{2 + \frac{1}{2}} e^{-13 \, e^{\frac{1}{13 \cdot 14}}} = 
   \]
   Diagram:
   - The diagram consists of 12 boxes, with the last box containing an asterisk (*).

4. **Expression (13)**:
   \[
   \sqrt{2\pi} \, 14^{3 + \frac{1}{2}} e^{-14 \, e^{\frac{1}{14 \cdot 15}}} = 
   \]
   Diagram:
   - The diagram consists of 13 boxes, with the last three boxes containing asterisks (**).

5. **Expression (14)**:
   \[
   \sqrt{2\pi} \, 15^{4 + \frac{1}{2}} e^{-15 \, e^{\frac{1}{15 \cdot 16}}} = 
   \]
   Diagram:
   - The diagram consists of 14 boxes, with the last four boxes containing asterisks (**).

6. **Expression (15)**:
   \[
   \sqrt{2\pi} \, 16^{5 + \frac{1}{2}} e^{-16 \, e^{\frac{1}{16 \cdot 17}}} = 
   \]
   Diagram:
   - The diagram consists of
Transcribed Image Text:### Mathematics Sequence Problems This content lists several expressions involving exponential and trigonometric functions. Each expression is related to a series of diagrams involving blocks or boxes. #### Expressions and Corresponding Diagrams: 1. **Expression (10)**: \[ \sqrt{2\pi} \, 11^{0 + \frac{1}{2}} e^{-11 \, e^{\frac{1}{11 \cdot 12}}} = \] Diagram: - The diagram consists of 10 empty boxes. 2. **Expression (11)**: \[ \sqrt{2\pi} \, 12^{1 + \frac{1}{2}} e^{-12 \, e^{\frac{1}{12 \cdot 13}}} = \] Diagram: - The diagram consists of 11 empty boxes. 3. **Expression (12)**: \[ \sqrt{2\pi} \, 13^{2 + \frac{1}{2}} e^{-13 \, e^{\frac{1}{13 \cdot 14}}} = \] Diagram: - The diagram consists of 12 boxes, with the last box containing an asterisk (*). 4. **Expression (13)**: \[ \sqrt{2\pi} \, 14^{3 + \frac{1}{2}} e^{-14 \, e^{\frac{1}{14 \cdot 15}}} = \] Diagram: - The diagram consists of 13 boxes, with the last three boxes containing asterisks (**). 5. **Expression (14)**: \[ \sqrt{2\pi} \, 15^{4 + \frac{1}{2}} e^{-15 \, e^{\frac{1}{15 \cdot 16}}} = \] Diagram: - The diagram consists of 14 boxes, with the last four boxes containing asterisks (**). 6. **Expression (15)**: \[ \sqrt{2\pi} \, 16^{5 + \frac{1}{2}} e^{-16 \, e^{\frac{1}{16 \cdot 17}}} = \] Diagram: - The diagram consists of
### Problem

**Instructions**: In each line, give an approximate value in decimals using a calculator.

1. \(\sqrt{2\pi} \ 2^{1+\frac{1}{2}} \ e^{-2} \ e^{\frac{1}{12 \cdot 2}} = \ \boxed{1} \boxed{0} \boxed{0} \boxed{0} \boxed{3} \ \ldots \)

2. \(\sqrt{2\pi} \ 3^{2+\frac{1}{2}} \ e^{-3} \ e^{\frac{1}{12 \cdot 3}} = \ \boxed{2} \boxed{0} \boxed{0} \boxed{0} \boxed{1} \ \ldots \)

3. \(\sqrt{2\pi} \ 4^{3+\frac{1}{2}} \ e^{-4} \ e^{\frac{1}{12 \cdot 4}} = \ \boxed{6} \boxed{0} \boxed{0} \boxed{0} \boxed{2} \ \ldots \)

4. \(\sqrt{2\pi} \ 5^{4+\frac{1}{2}} \ e^{-5} \ e^{\frac{1}{12 \cdot 5}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \)

5. \(\sqrt{2\pi} \ 6^{5+\frac{1}{2}} \ e^{-6} \ e^{\frac{1}{12 \cdot 6}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \)

6. \(\sqrt{2\pi} \ 7^{6+\frac{1}{2}} \ e^{-7} \ e^{\frac{1}{12 \cdot 7}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \)

7. \(\sqrt{2\pi} \ 8^{7+\frac{1}{2}} \ e^{-8} \ e^{\frac{1}{12 \cdot 8}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \)

8. \(\sqrt{
Transcribed Image Text:### Problem **Instructions**: In each line, give an approximate value in decimals using a calculator. 1. \(\sqrt{2\pi} \ 2^{1+\frac{1}{2}} \ e^{-2} \ e^{\frac{1}{12 \cdot 2}} = \ \boxed{1} \boxed{0} \boxed{0} \boxed{0} \boxed{3} \ \ldots \) 2. \(\sqrt{2\pi} \ 3^{2+\frac{1}{2}} \ e^{-3} \ e^{\frac{1}{12 \cdot 3}} = \ \boxed{2} \boxed{0} \boxed{0} \boxed{0} \boxed{1} \ \ldots \) 3. \(\sqrt{2\pi} \ 4^{3+\frac{1}{2}} \ e^{-4} \ e^{\frac{1}{12 \cdot 4}} = \ \boxed{6} \boxed{0} \boxed{0} \boxed{0} \boxed{2} \ \ldots \) 4. \(\sqrt{2\pi} \ 5^{4+\frac{1}{2}} \ e^{-5} \ e^{\frac{1}{12 \cdot 5}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \) 5. \(\sqrt{2\pi} \ 6^{5+\frac{1}{2}} \ e^{-6} \ e^{\frac{1}{12 \cdot 6}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \) 6. \(\sqrt{2\pi} \ 7^{6+\frac{1}{2}} \ e^{-7} \ e^{\frac{1}{12 \cdot 7}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \) 7. \(\sqrt{2\pi} \ 8^{7+\frac{1}{2}} \ e^{-8} \ e^{\frac{1}{12 \cdot 8}} = \ \boxed{} \boxed{} \boxed{} \boxed{} \ \ldots \) 8. \(\sqrt{
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