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Образовательный студенческий форум _ Интегралы _ Вычислить объём тела, оганиченного заданными поверхностями...

Автор: ЭвРиКа 17.12.2008, 11:18

Помогите пожалуйсто решить задачку
Вычислить объём тела, оганиченного заданными поверхностями...z=x^2+2*y^2, y=x, x>=0, y=1, z>=0
Заренее благодарю

Автор: Тролль 17.12.2008, 13:15

Сначала надо найти область интегрирования. Нарисовать ее и посмотреть, как меняются x, y, z.

Автор: ЭвРиКа 17.12.2008, 13:18

Цитата(Тролль @ 17.12.2008, 13:15) *

Сначала надо найти область интегрирования. Нарисовать ее и посмотреть, как меняются x, y, z.

Так я не могу этого сделать, может поможите?))))

Автор: Тролль 17.12.2008, 13:21

Цитата(ЭвРиКа @ 17.12.2008, 14:18) *

Помогите пожалуйсто решить задачку
Вычислить объём тела, оганиченного заданными поверхностями...z=x^2+2*y^2, y=x, x>=0, y=1, z>=0
Заренее благодарю


0 <= z <= x^2 + 2 * y^2
0 <= x <= 1
x <= y <= 1

Автор: ЭвРиКа 17.12.2008, 13:41

Цитата(Тролль @ 17.12.2008, 13:21) *

0 <= z <= x^2 + 2 * y^2
0 <= x <= 1
x <= y <= 1

Спасибо вам огромное smile.gif

Автор: chocolet1 14.10.2022, 12:31


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Автор: potapovsergei0 3.4.2024, 13:56

He looked through the doorway with his ears lifted high and his tail wagging as fast as it could. To his great surprise, he found himself staring at 1000 other happy little dogs with their tails wagging just as fast as his. He smiled a great smile, and was answered with 1000 great smiles just as warm and firendly. As he left the House, he thought to himself, "This is a wonderful place. I will come back and visit it often."

He looked through the doorway with his ears lifted high and his tail wagging as fast as it could. To his great surprise, he found himself staring at 1000 other happy little dogs with their tails wagging just as fast as his. He smiled a great smile, and was answered with 1000 great smiles just as warm and firendly. As he left the House, he thought to himself, "This is a wonderful place. I will come back and visit it often."

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