Find the volume of the given solid Bounded by the coordinate planes and the plan

Rui Baldwin

Rui Baldwin

Answered question

2021-10-25

Find the volume of the given solid Bounded by the coordinate planes and the plane 3x+2y+z=6

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-10-26Added 88 answers

This is simillar to the previous task. We want to let one variable vary and tie other for the variable that varies. Notice that if you drive the projection of the plane 3x+2y+z=6 into the xy plane you will find that x and y are tied to each other. x varies between 0 and 2 and y varies between 0 and 332x. We obtain this by expressing y from the projection. Finally we calculate:
02033x263x2ydydx=019x249x+9dx=6
Result: 6

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