IDZ Ryabushko 10.2 Option 23
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Section: Chapter 10. Differential calculus of functions of several variables
Topic: Applications of differential calculus of functions of several variables
Description: Finding equations of the tangent plane and normal to a surface, computing second-order partial derivatives, verifying differential equations (e.g., Laplace´s equation), investigating the extremum of a function of two variables, finding the largest and smallest values of a function in a closed region.
Tasks:
1. Find the equations of the tangent plane and the normal to the given surface S at the point M₀(x₀, y₀, z₀)
2. Find the second-order partial derivatives of the indicated functions. Verify that z″xy = z″yx
3. Check whether the given function u satisfies the indicated equation.
4. Investigate the following functions for extremum.
5. Find the largest and smallest values of the function z = z(x, y) in the region D bounded by the given lines.
The ready solution includes:
• Complete solution of all 5 tasks of the variant
• Detailed explanations for each step
• All formulas and calculations
• Format of your choice: PDF or Word (editable)
• Available for download immediately after payment
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- Content type File
- Content description 60,64 kB
- Updated on the site 15.05.2024
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IDZ Ryabushko 10.2 Option 23
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: %
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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