Q3P In the problems of this section,... [FREE SOLUTION]

Chapter 5: Q3P (page 247)

In the problems of this section, set up and evaluate the integrals by hand and check your results by computer ${鈭�}_{y = 0}^{2} {鈭�}_{x = 2 y}^{4} d x d y$

Short Answer

Expert verified

The required solution is 4.

Step by step solution

Defining Integrals

An integral is a mathematical notion that explains displacement, area, volume, and other ideas that come from the combination of infinitesimal data.

Step 2: Integrating the problem

Integrating with respect to the variable .

${鈭�}_{y = 0}^{2} {鈭�}_{x = 2 y}^{4} dxdy = {鈭�}_{y = 0}^{2} [{鈭�}_{x = 2 y}^{4} dx] dy = {鈭�}_{y = 0}^{2} dy (4 - 2 y)$

Further Integrating

Integrating with respect to the variable y.

${鈭�}_{y = 0}^{2} dy (4 - 2 y) = 4 脳 y_{0}^{2} - y^{2}_{0}^{2} = 8 (2 - 0) - (4 - 0) = 4$

Therefore, the value is 4.

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91影视

In the problems of this section, set up and evaluate the integrals by hand and check your results by computer ${鈭�}_{y = 0}^{2} {鈭�}_{x = 2 y}^{4} d x d y$

Short Answer

Step by step solution

Defining Integrals

Step 2: Integrating the problem

Further Integrating

One App. One Place for Learning.

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91影视

In the problems of this section, set up and evaluate the integrals by hand and check your results by computer鈭�y=02鈭�x=2y4dxdy

Short Answer

Step by step solution

Defining Integrals

Step 2: Integrating the problem

Further Integrating

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Space Physics

Force

Astrophysics

Solid State Physics

Physical Quantities And Units

Engineering Physics

Study anywhere. Anytime. Across all devices.

In the problems of this section, set up and evaluate the integrals by hand and check your results by computer ${鈭�}_{y = 0}^{2} {鈭�}_{x = 2 y}^{4} d x d y$