Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![### Geometric Figures and Series Computation
#### Question 1: Drawing Geometric Figures
**Task:** Write a program that draws a rectangle or an oval, as illustrated below. The user selects a figure using a radio button and specifies whether it is filled by selecting a check button.
**Figure 9.23:**
- **Left image:** Displays a filled rectangle. The "Rectangle" radio button is selected, and the "Filled" check button is also selected.
- **Right image:** Displays a filled oval. The "Oval" radio button is selected, and the "Filled" check button is also selected.
**Explanation:**
The program should display either a rectangle or an oval based on the user's selection of the shape type and whether it should be filled.
#### Question 2: Computing Sum Series
**Task:** Write a recursive function to compute the following series:
\[ m(i) = \frac{1}{3} + \frac{2}{5} + \frac{3}{7} + \frac{4}{9} + \frac{5}{11} + \frac{6}{13} + \ldots + \frac{i}{2i+1} \]
**Explanation:**
The recursive function should take an integer \( i \) and compute the sum of the series up to that term \( i \).
Each term in the series is given by the formula \( \frac{n}{2n + 1} \), where \( n \) ranges from 1 to \( i \).
---
For additional information and resources, please refer to the program design layout and formula derivation provided in the course materials.
Happy coding!](https://content.bartleby.com/qna-images/question/ea513a71-bd14-47f9-a98d-e0bad33d4ca5/19388791-49dd-4ce1-95a8-67a9f0918de2/kmyy4hb_processed.png)
Transcribed Image Text:### Geometric Figures and Series Computation
#### Question 1: Drawing Geometric Figures
**Task:** Write a program that draws a rectangle or an oval, as illustrated below. The user selects a figure using a radio button and specifies whether it is filled by selecting a check button.
**Figure 9.23:**
- **Left image:** Displays a filled rectangle. The "Rectangle" radio button is selected, and the "Filled" check button is also selected.
- **Right image:** Displays a filled oval. The "Oval" radio button is selected, and the "Filled" check button is also selected.
**Explanation:**
The program should display either a rectangle or an oval based on the user's selection of the shape type and whether it should be filled.
#### Question 2: Computing Sum Series
**Task:** Write a recursive function to compute the following series:
\[ m(i) = \frac{1}{3} + \frac{2}{5} + \frac{3}{7} + \frac{4}{9} + \frac{5}{11} + \frac{6}{13} + \ldots + \frac{i}{2i+1} \]
**Explanation:**
The recursive function should take an integer \( i \) and compute the sum of the series up to that term \( i \).
Each term in the series is given by the formula \( \frac{n}{2n + 1} \), where \( n \) ranges from 1 to \( i \).
---
For additional information and resources, please refer to the program design layout and formula derivation provided in the course materials.
Happy coding!
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