IDZ Ryabushko 10.1 Option 14
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Section: Chapter 10. Differential Calculus of Functions of Several Variables
Topic: Functions of Several Variables: Basic Concepts
Description: Finding the domain of definition of functions of two and three variables, calculating first-order partial derivatives, partial differentials, total differential, derivatives of composite functions, partial derivatives of implicitly defined functions, as well as calculating the values of these derivatives at given points.
Tasks:
1. Find the domain of definition of the indicated functions
2. Find partial derivatives and partial differentials of the following functions
3. Calculate the values of the partial derivatives f´x(M₀), f´y(M₀), f´z(M₀) for the given function f(x, y, z) at the point M₀(x₀, y₀, z₀) accurate to two decimal places
4. Find total differentials of the indicated functions
5. Calculate the value of the derivative of a composite function u = u(x, y), where x = x(t), y = y(t), at t = t₀ accurate to two decimal places
6. Calculate the values of the partial derivatives of an implicitly defined function z(x, y) at the point M₀(x₀, y₀, z₀) accurate to two decimal places
The finished solution includes:
• Complete solution of all 6 tasks of the variant
• Detailed explanations for each step
• All formulas and calculations
• Format of choice: PDF or Word (editable)
• Available for download immediately after payment
Main features
- Content type File
- Content description 118,4 kB
- Updated on the site 15.05.2024
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| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
Cumulative discount
| 200 $ | the discount is 40% |
| 150 $ | the discount is 30% |
| 100 $ | the discount is 25% |
| 70 $ | the discount is 20% |
| 40 $ | the discount is 15% |
| 20 $ | the discount is 10% |
| 10 $ | the discount is 7% |
| 5 $ | the discount is 3% |
Amount of purchases from the seller: $
Your discount: %
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