Q. 1 Let be real 伪,尾,纬,未,系,and聽... [FREE SOLUTION]

Chapter 13: Q. 1 (page 1041)

Let be real $伪, 尾, 纬, 未, 系, and 味$ numbers. Evaluate the triple iterated integral
${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x$
What does this integral represent?

Short Answer

Expert verified

Integral is evaluated as ${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x = (味 - 系) (未 - 纬) (尾 - 伪)$ and represents volume.

Step by step solution

Step 1. Given information

The given integral is ${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x$

Step 2. Simplification

Evaluate the integral

${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x = {鈭�}_{伪}^{尾} ({鈭�}_{纬}^{未} ({鈭�}_{系}^{味} 1 d z) d y) d x {鈭�}_{伪}^{尾} ({鈭�}_{纬}^{未} ({[z]}_{系}^{味}) d y) d x = {鈭�}_{伪}^{尾} ({鈭�}_{纬}^{未} (味 - 系) d y) d x = {鈭�}_{伪}^{尾} ({[味 - 系]}_{纬}^{未}) d x = {鈭�}_{伪}^{尾} ((味 - 系) (未 - 纬)) d x = {[(味 - 系) (未 - 纬)]}_{伪}^{尾} = (味 - 系) (未 - 纬) (尾 - 伪)$

So integral is evaluated as ${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x = (味 - 系) (未 - 纬) (尾 - 伪) .$

The triple-iterated integral represents volume.

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91影视

Let be real $伪, 尾, 纬, 未, 系, and 味$ numbers. Evaluate the triple iterated integral
${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x$
What does this integral represent?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification

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91影视

Let be real 伪,尾,纬,未,系,and味numbers. Evaluate the triple iterated integral鈭�伪尾鈭�纬未鈭�系味dzdydxWhat does this integral represent?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Let be real $伪, 尾, 纬, 未, 系, and 味$ numbers. Evaluate the triple iterated integral
${鈭�}_{伪}^{尾} {鈭�}_{纬}^{未} {鈭�}_{系}^{味} d z d y d x$
What does this integral represent?