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1890 dous 7. z = x² + xy + 3y², (1, 1, 5)

1890 dous 7. z = x² + xy + 3y², (1, 1, 5)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. z = (x + 2)² -2(y- to bas to 109 3. z = e, 4. z = x/y², We are given that | AX error in the volume, we therefore use dx x = 75, y = 60, and z = 40: Thus an error of only 0.2 cm in measuring each approximately 1980 cm³ in the calculated volu wa bandom die sluit's only about 1% of the volume of the box. 14.4 EXERCISES ba 1-6 Find an equation of the tangent plane to the given surface at the specified point. 1. z = 2x² + y² - 5y, (1, 2, -4) (2, 2, 1).01 1)²-5, (2, 3, 3) st mi (-4, 2, -1) end miw smop & to V AV dV= (60)(40) (0.2) + (75) (40 #001 TOS = (1:0) 5. z = x sin(x + y), (-1, 1, 0) E +(1.0) #002 E 11-16 Explain wh point. Then find th that point. 6. z = ln(x - 2y), (3, 1,0) de zi omulov balsuolo ed i 10 11. f(x, y) = 1 + 12. f(x, y) = √√√x = 7-8 Graph the surface and the tangent plane at the given point. (Choose the domain and viewpoint so that you get a good view of both the surface and the tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable. -Izo1qgs 18snil odi 7. z = x² + xy + 3y², (1,1,5) 8. z = √√√9+ x²y², (2,2,5) 0.2, CAS 9-10 Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) V to the shib Sa Then zoom in until indistinguishable. 9. f(x, y) sto 1 + 1 + 10. f(x, y) = exy 13. f(x, y) = x²e noitel 1- 1 A 14. f(x, y) = helimiz ne 15. f(x, y) = 4 a 16. f(x, y) = y- 17-18 Verify the 17. e* cos(xy)
Transcribed Image Text:2. z = (x + 2)² -2(y- to bas to 109 3. z = e, 4. z = x/y², We are given that | AX error in the volume, we therefore use dx x = 75, y = 60, and z = 40: Thus an error of only 0.2 cm in measuring each approximately 1980 cm³ in the calculated volu wa bandom die sluit's only about 1% of the volume of the box. 14.4 EXERCISES ba 1-6 Find an equation of the tangent plane to the given surface at the specified point. 1. z = 2x² + y² - 5y, (1, 2, -4) (2, 2, 1).01 1)²-5, (2, 3, 3) st mi (-4, 2, -1) end miw smop & to V AV dV= (60)(40) (0.2) + (75) (40 #001 TOS = (1:0) 5. z = x sin(x + y), (-1, 1, 0) E +(1.0) #002 E 11-16 Explain wh point. Then find th that point. 6. z = ln(x - 2y), (3, 1,0) de zi omulov balsuolo ed i 10 11. f(x, y) = 1 + 12. f(x, y) = √√√x = 7-8 Graph the surface and the tangent plane at the given point. (Choose the domain and viewpoint so that you get a good view of both the surface and the tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable. -Izo1qgs 18snil odi 7. z = x² + xy + 3y², (1,1,5) 8. z = √√√9+ x²y², (2,2,5) 0.2, CAS 9-10 Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) V to the shib Sa Then zoom in until indistinguishable. 9. f(x, y) sto 1 + 1 + 10. f(x, y) = exy 13. f(x, y) = x²e noitel 1- 1 A 14. f(x, y) = helimiz ne 15. f(x, y) = 4 a 16. f(x, y) = y- 17-18 Verify the 17. e* cos(xy)
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