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Chapter 15 Solutions
Calculus: Early Transcendentals, Loose-leaf Version, 9th
- Convert the integral to spherical coordinates and evaluate it. r5 25 —г2 5+/25-x2-y2 V Va? + y? + z² dz dy dx 25-x2 5- (25–x²-y²arrow_forwardEvaluate the integral by changing to cylindrical coordinates. √9-y² LIVSP 9-y2 V r6 x² + y² xz dz dx dyarrow_forwardEvaluate the integral by changing to cylindrical coordinates. V16 - x 2 16 - x2 - y2 4 x² + y² dz dy dx -4Joarrow_forward
- Find a. a. Əw ?x and b. y Əw dx (2л, -2,-2) = Əw at the point (x,y,z) = (2₁, -2,-2) if w = x² + y² + z² and y sin z + zsin x = 0. əz y (Type an exact answer, using as needed.)arrow_forwardEvaluate the iterated integral. 3 (5х + 3у) dx dy 3 4 (5х + Зу) dx dy %3 iarrow_forwardChange the integral into cylindrical coordinates. 4-a2 8-22-y2 (22 ²+y²) dzdydaarrow_forward
- Evaluate the integral by changing to cylindrical coordinates. 100 y2 13 10 I-10. x² + y2 p xp zp zx 100 - y2 Need Help? Watch It Read Itarrow_forwardEvaluate the integral by changing to spherical coordinates. V 16 - x2 32 - x2 - y2 yz dz dy dx x²+ y2 + y2arrow_forwardUse cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. /81-y² 162-a2–y² 2? dz dx dy 2²+y?arrow_forward
- The cylinder defined by x² + y² = 4.arrow_forward(iii) Evaluate the integral by changing to spherical coordinates. a²-y² a²-x²-y² INN a²-y² √a²-x²-y² . (x²z+y²z+ z³) dzdxdyarrow_forwardI (8) Change the following integral to spherical coordinates. Do not evaluate the integral. a²-y² INN (r²z+y²z+z³)dzdxdy. a²-y²-2² a² -y²arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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