Use a tangent plane to approximate the value of the following function at the point (-1.9, 3.9). Give your answer accurate to 4 decimal places. f(x, y) = 132 - 4x² - y² Submit Question
Use a tangent plane to approximate the value of the following function at the point (-1.9, 3.9). Give your answer accurate to 4 decimal places. f(x, y) = 132 - 4x² - y² Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Exercise: Tangent Plane Approximation**
**Objective:**
Use a tangent plane to approximate the value of the following function at the point (-1.9, 3.9). Provide your answer accurate to four decimal places.
**Function:**
\[ f(x, y) = \sqrt{132 - 4x^2 - y^2} \]
**Instructions:**
- Compute the tangent plane at the given point.
- Use the approximation to find the function value.
- Enter your result in the provided space and click "Submit Question" to check your answer.
**Submit Button:**
A blue "Submit Question" button is present to submit your answer.
**Additional Notes:**
- Ensure your calculations are precise to achieve the correct decimal accuracy.
- Review tangent plane approximation methods if needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a3f3121-07ef-4e2d-8122-d3ccd0e5a601%2Ffb46ceac-02ce-49b1-93fe-4221595d33f1%2Fdadzzhc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Tangent Plane Approximation**
**Objective:**
Use a tangent plane to approximate the value of the following function at the point (-1.9, 3.9). Provide your answer accurate to four decimal places.
**Function:**
\[ f(x, y) = \sqrt{132 - 4x^2 - y^2} \]
**Instructions:**
- Compute the tangent plane at the given point.
- Use the approximation to find the function value.
- Enter your result in the provided space and click "Submit Question" to check your answer.
**Submit Button:**
A blue "Submit Question" button is present to submit your answer.
**Additional Notes:**
- Ensure your calculations are precise to achieve the correct decimal accuracy.
- Review tangent plane approximation methods if needed.
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