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19. z = ln(x + t²) 21. f(x, y) = X == 23. f(x, y) = y ax + by cx + dy 25. g(u, v) = (u²v – v³)5 20. zx sin(xy) 22. f(x, y) = = X (x + y)² eº u + v² 26. u(r, 0) = sin(r cos 0) 24. w =

19. z = ln(x + t²) 21. f(x, y) = X == 23. f(x, y) = y ax + by cx + dy 25. g(u, v) = (u²v – v³)5 20. zx sin(xy) 22. f(x, y) = = X (x + y)² eº u + v² 26. u(r, 0) = sin(r cos 0) 24. w =

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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hs of a ify each drawn sketches or 13-14 Find f, and fy and graph f, fx, and fy with domains and viewpoints that enable you to see the relationships between them. 13. f(x, y) = x²y³ 21. f(x, y) = 15-40 Find the first partial derivatives of the function. 15. f(x, y) = x + 5xy³ 17. f(x, t) = tex 19. z = ln(x + t²) 23. f(x, y) = ax + by cx + dy 25. g(u, v) = (u²v – v³)5 x 39. u = y 27. R(p, q) = tan ¹(pq²) 29. F(x, y) = f*cos(e¹) dt 31. f(x, y, z) = x³yz² + 2yz 33. w = In(x + 2y + 3z) 35. p=√√14+ u² cos v 37. h(x, y, z, t) = x²y cos(z/t) 40. u = =√√x² + x² + sin(x₁ + 2x2 + + x ²1/12 14. f(x, y) = ... 16. 18. 20. z f(x, y) = x²y - 3y4 f(x, t) = √3x + 4t 22. f(x, y) = y 1 + x²y² = x sin(xy) 24. w = +nxn) eº u + v² 26. u(r, 0) = sin(r cos 0) 28. f(x, y) = x 30. F(x, B) = 32. f(x, y, z) = xy²e-² 34. w = y tan (x + 2z) = xy/z 36. u = X (x + y)² 41-44 Find the indicated partial derivative. 41. R(s, t) = t³/₁1 38. (x, y, z, t) = √1³ + 1 di 2 ax+By² yz +81²
Transcribed Image Text:hs of a ify each drawn sketches or 13-14 Find f, and fy and graph f, fx, and fy with domains and viewpoints that enable you to see the relationships between them. 13. f(x, y) = x²y³ 21. f(x, y) = 15-40 Find the first partial derivatives of the function. 15. f(x, y) = x + 5xy³ 17. f(x, t) = tex 19. z = ln(x + t²) 23. f(x, y) = ax + by cx + dy 25. g(u, v) = (u²v – v³)5 x 39. u = y 27. R(p, q) = tan ¹(pq²) 29. F(x, y) = f*cos(e¹) dt 31. f(x, y, z) = x³yz² + 2yz 33. w = In(x + 2y + 3z) 35. p=√√14+ u² cos v 37. h(x, y, z, t) = x²y cos(z/t) 40. u = =√√x² + x² + sin(x₁ + 2x2 + + x ²1/12 14. f(x, y) = ... 16. 18. 20. z f(x, y) = x²y - 3y4 f(x, t) = √3x + 4t 22. f(x, y) = y 1 + x²y² = x sin(xy) 24. w = +nxn) eº u + v² 26. u(r, 0) = sin(r cos 0) 28. f(x, y) = x 30. F(x, B) = 32. f(x, y, z) = xy²e-² 34. w = y tan (x + 2z) = xy/z 36. u = X (x + y)² 41-44 Find the indicated partial derivative. 41. R(s, t) = t³/₁1 38. (x, y, z, t) = √1³ + 1 di 2 ax+By² yz +81²
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