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Find the differential of the function f(x, y) 77 dz Now find Az and compare it to your answer above Az www 2e³y at the point (4,3) using Ax Hint: If entering a decimal, round to at least 5 places Question Help: Video Submit Question Z 0.2 and Ay = 0.3 4

Find the differential of the function f(x, y) 77 dz Now find Az and compare it to your answer above Az www 2e³y at the point (4,3) using Ax Hint: If entering a decimal, round to at least 5 places Question Help: Video Submit Question Z 0.2 and Ay = 0.3 4

Advanced Engineering Mathematics
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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**Differentials and Function Analysis** To find the differential of the function \( f(x, y) = 2xe^{3y} \) at the point \( (4, 3) \) using \( \Delta x = 0.2 \) and \( \Delta y = 0.3 \): ### Differential Calculation - Calculate \( dz \) using the formula for the total differential: - \( dz \) = ? ### Change in \( z \) - Now find \( \Delta z \) and compare it to your answer above: - \( \Delta z \) = ? **Hint:** If entering a decimal, round to at least 5 places. **Additional Help:** - A video resource is available to assist with this problem. **Interactive Element:** - Submit your answer by pressing "Submit Question." This exercise will help you understand the application of differentials in evaluating the change in multivariable functions at given points, enhancing your calculus and analytical skills.
Transcribed Image Text:**Differentials and Function Analysis** To find the differential of the function \( f(x, y) = 2xe^{3y} \) at the point \( (4, 3) \) using \( \Delta x = 0.2 \) and \( \Delta y = 0.3 \): ### Differential Calculation - Calculate \( dz \) using the formula for the total differential: - \( dz \) = ? ### Change in \( z \) - Now find \( \Delta z \) and compare it to your answer above: - \( \Delta z \) = ? **Hint:** If entering a decimal, round to at least 5 places. **Additional Help:** - A video resource is available to assist with this problem. **Interactive Element:** - Submit your answer by pressing "Submit Question." This exercise will help you understand the application of differentials in evaluating the change in multivariable functions at given points, enhancing your calculus and analytical skills.
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