2730 TrueFalse Determin whether the statements is true or false. Explain your answer.If
Chapter 14, Problem 27(choose chapter or problem)
Determine whether the statement is true or false. Explain your answer.
If \(G\) is the rectangular solid that is defined by \(1 \leq x \leq 3,2 \leq y \leq 5,-1 \leq z \leq 1\), and if \(f(x, y,z)\) is continuous on \(G\),then
\(\iiint_{G} f(x, y, z) d V=\int_{1}^{3} \int_{-1}^{1} \int_{2}^{5} f(x, y, z) d y\ d z\ d x\)
Equation Transcription:
1 ≤ ≤ 3, 2 ≤
≤ 5, −1 ≤
≤ 1
Text Transcription:
1 <= x <= 3, 2 <= y <= 5, −1 <= z <= 1
f(x, y,z)
Integral integral integral_Gf(x,y,z)dV=integral_1^3 integral_-1^1 integral_2^5 f(x,y,z)dy dz dx
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