Homework Help is Here – Start Your Trial Now!
Math
Calculus
49. ff(x, y) dy dx 51-56 Evaluate the integral by 115 51. dx dy ff., ex² ai m

49. ff(x, y) dy dx 51-56 Evaluate the integral by 115 51. dx dy ff., ex² ai m

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...
See similar textbooks
icon
Related questions
Question

49,51 please

 

34. Find the approximate volume of the solid in the first octant that is bounded by the planes y = x, z = 0, and z = x and the cylinder y = cos x. (Use a graphing device to estimate the points of intersection.) 35-38 Find the volume of the solid by subtracting two volumes. 35. The solid enclosed by the parabolic cylinders y = 1 − x², y=x²-1 and the planes x + y + z = 2, 2x + 2yz + 10 = 0 onsigodi yd babhund bilo d bele dand the 36. The solid enclosed by the parabolic cylinder y = x² and the planes z = 3y, z = 2 + y ) bryted off 37. The solid under the plane z = 3, above the plane z = y, and between the parabolic cylinders y = x² and y = 1 - x² FIGURE ctangle 51. 38. The solid in the first octant under the plane z = x + y, above the surface z = xy, and enclosed by the surfaces x = 0, y = 0, and x² + y² = 4 39. as 41-44 Use a computer algebra system to find the exact volume of the solid. 41. Under the surface z = x³y² + xy²2 and above the region bounded by the curves y = x³ - x and y = x² + x for x ≥ 0 43. Enclosed by z = 1 - x² - y² and z = 0 x² + y² and z = 2y 42. Between the paraboloids z = 2x² + y² and z = 8 − x² – 2y² and inside the cylinder x² + y² = 1 - 44. Enclosed by z = hade.Ab 39-40 Sketch the solid whose volume is given by the iterated Days of Jew Ingenied dnebi omist or entre 10 integral. A to nonquazon sny 35 ruro mil surgit air slog gni gniau A .bs bodnozab yliass ei tud ,homollamos 5-1 ff¹*(1-x - y) dy dx 40. ff*(1-x) dy dx using Jo 20 entral angle is Jo J3y e* dx dy 48. 46. ² f(x, y) dy dx Blog ²₂ 2 Jo 45-50 Sketch the region of integration and change the order of integration. 30 011=Y 45. f(x, y) dx dy 47. [*¹2** f(x, y) dy dx 49. ff* f(x, y) dy dx mesini siduob er stignes or 1stro al & sui 51-56 Evaluate the integral by reversing the order of integration. 52. wode A zslynstoon aloq llama om ola √y sin y dy dx 01 00 P 50. ff SECTION 15.2 Double Integrals over General Regions 53. SS √y³ + I dy dxming to comes to 22 aleysini ölduob 54. ffy cos(x¹ - 1) dx dy 55. arctan I 56. S S/ /2 arcsin y 57. f(x, y) dy dx bre et dx dy ff x²dA cos x √1 + cos²x dx dy 57-58 Express D as a union of regions of type I or type II and evaluate the integral. 1 brons logoditi sugit mont llasest enoitnups odi.vd61-62 bres rog YA P_20150ib1016/09 gi altri aldur_x=y=y³ (1, 1) FIGURE 4 Divide 58. D 099 angit ni od 201 30 Tab -1 1 3-y2 f(x, y) dx dy 63. Prove Property 11. If y dA D X 1009 01 y=(x + 1)² -1 sectofa of two auch 20 ave dehmer 59. √4x²y² dA, 59-60 Use Property 11 to estimate the value of the integral. S = {(x, y) | x² + y² ≤ 1, x ≥ 0} f. we always obtain the hown that, for the same ² = 1 rectan 60. ff sin¹(x + y) dA, T is the triangle enclosed by the lines TEST IS T y = 0, y = 2x, and x = 1 18 0 with such denar, och of -1 X hich Find the averge value of f over the region D. 61. f(x, y) = xy, D is the triangle with vertices (0, 0), (1, 0), and (1, 3) 2219 62. f(x, y) = x sin y, D is enclosed by the curves y = 0, y = x², and x = 1 SAUDIE 64. In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: lin f(x, y) dA = f f f(x, y) dx dy + ff f(x, y) dA-fff(x, y) dx dy + f(x,y) dx dy S² S³² 90.81 d Sketch the region D and express the double integral as an iterated integral with reversed order of integration. grets
Transcribed Image Text:34. Find the approximate volume of the solid in the first octant that is bounded by the planes y = x, z = 0, and z = x and the cylinder y = cos x. (Use a graphing device to estimate the points of intersection.) 35-38 Find the volume of the solid by subtracting two volumes. 35. The solid enclosed by the parabolic cylinders y = 1 − x², y=x²-1 and the planes x + y + z = 2, 2x + 2yz + 10 = 0 onsigodi yd babhund bilo d bele dand the 36. The solid enclosed by the parabolic cylinder y = x² and the planes z = 3y, z = 2 + y ) bryted off 37. The solid under the plane z = 3, above the plane z = y, and between the parabolic cylinders y = x² and y = 1 - x² FIGURE ctangle 51. 38. The solid in the first octant under the plane z = x + y, above the surface z = xy, and enclosed by the surfaces x = 0, y = 0, and x² + y² = 4 39. as 41-44 Use a computer algebra system to find the exact volume of the solid. 41. Under the surface z = x³y² + xy²2 and above the region bounded by the curves y = x³ - x and y = x² + x for x ≥ 0 43. Enclosed by z = 1 - x² - y² and z = 0 x² + y² and z = 2y 42. Between the paraboloids z = 2x² + y² and z = 8 − x² – 2y² and inside the cylinder x² + y² = 1 - 44. Enclosed by z = hade.Ab 39-40 Sketch the solid whose volume is given by the iterated Days of Jew Ingenied dnebi omist or entre 10 integral. A to nonquazon sny 35 ruro mil surgit air slog gni gniau A .bs bodnozab yliass ei tud ,homollamos 5-1 ff¹*(1-x - y) dy dx 40. ff*(1-x) dy dx using Jo 20 entral angle is Jo J3y e* dx dy 48. 46. ² f(x, y) dy dx Blog ²₂ 2 Jo 45-50 Sketch the region of integration and change the order of integration. 30 011=Y 45. f(x, y) dx dy 47. [*¹2** f(x, y) dy dx 49. ff* f(x, y) dy dx mesini siduob er stignes or 1stro al & sui 51-56 Evaluate the integral by reversing the order of integration. 52. wode A zslynstoon aloq llama om ola √y sin y dy dx 01 00 P 50. ff SECTION 15.2 Double Integrals over General Regions 53. SS √y³ + I dy dxming to comes to 22 aleysini ölduob 54. ffy cos(x¹ - 1) dx dy 55. arctan I 56. S S/ /2 arcsin y 57. f(x, y) dy dx bre et dx dy ff x²dA cos x √1 + cos²x dx dy 57-58 Express D as a union of regions of type I or type II and evaluate the integral. 1 brons logoditi sugit mont llasest enoitnups odi.vd61-62 bres rog YA P_20150ib1016/09 gi altri aldur_x=y=y³ (1, 1) FIGURE 4 Divide 58. D 099 angit ni od 201 30 Tab -1 1 3-y2 f(x, y) dx dy 63. Prove Property 11. If y dA D X 1009 01 y=(x + 1)² -1 sectofa of two auch 20 ave dehmer 59. √4x²y² dA, 59-60 Use Property 11 to estimate the value of the integral. S = {(x, y) | x² + y² ≤ 1, x ≥ 0} f. we always obtain the hown that, for the same ² = 1 rectan 60. ff sin¹(x + y) dA, T is the triangle enclosed by the lines TEST IS T y = 0, y = 2x, and x = 1 18 0 with such denar, och of -1 X hich Find the averge value of f over the region D. 61. f(x, y) = xy, D is the triangle with vertices (0, 0), (1, 0), and (1, 3) 2219 62. f(x, y) = x sin y, D is enclosed by the curves y = 0, y = x², and x = 1 SAUDIE 64. In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: lin f(x, y) dA = f f f(x, y) dx dy + ff f(x, y) dA-fff(x, y) dx dy + f(x,y) dx dy S² S³² 90.81 d Sketch the region D and express the double integral as an iterated integral with reversed order of integration. grets
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS