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  • Pregunta: Evaluate the triple integral ∭Bg(x,y,z)dV over solid B. B={(x,y,z)∣42≤x2+y2≤82,x≥0,y≥0,4≤z≤5} and g(x,y,z)=z Note: The graph is an example. The scale may not be the same for your particular problem. Give your answer accurate to at least three decimal places. Hint: Convert from rectangular to cylindrical coordinate system.Let E be the region bounded above by


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    Hay 4 pasos para resolver este problema.
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    Paso 1

    Se nos pide calcular Bg(x,y,z)dV , intentemos antes que nada reparametrizar al sólido B utilizando coordenadas c...

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Texto de la transcripción de la imagen:
Evaluate the triple integral Bg(x,y,z)dV over solid B. B={(x,y,z)42x2+y282,x0,y0,4z5} and g(x,y,z)=z Note: The graph is an example. The scale may not be the same for your particular problem. Give your answer accurate to at least three decimal places. Hint: Convert from rectangular to cylindrical coordinate system. Let E be the region bounded above by x2+y2+z2=102, within x2+y2=82.z6. Find the volume of E. Triple Integral Cylindrical Coordinates Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to two decimal places. Hint: Convert from rectangular to cylindrical coordinate system.