If the triple integral over the region bounded by the planes 2x + y + z = 4, x = 0, y = 0, z = 0 is given by then the function λ(x) – π(x, y) isa)yb)xc)x + yd)x – yCorrect answer is option 'A'. Can you explain this answer?

Question

If the triple integral over the region bounded by the planes 2x + y + z = 4, x = 0, y = 0, z = 0 is given by then the function &lambda;(x) &ndash; &pi;(x, y) isa)yb)xc)x + yd)x &ndash; yCorrect answer is option 'A'. Can you explain this answer?

Answer

Answer

where V is region bounded by the plane 2x + y + z = 4 x = 0, y = 0, z = 0

From (1) & (2), we have
⇒ λ(x) = 4 – 2x.
µ(x, y) = 4 – 2x – y
⇒ λ – µ = 4 – 2x – 4 + 2x + y = y.

Answer

where V is region bounded by the plane 2x + y + z = 4 x = 0, y = 0, z = 0

From (1) & (2), we have
⇒ λ(x) = 4 – 2x.
µ(x, y) = 4 – 2x – y
⇒ λ – µ = 4 – 2x – 4 + 2x + y = y.

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