Write the integral of a function f(x, y) over the following regions. Do not use a substitution;your integrals should be in one of the formsZ ? x=? Z ? y=? f(x, y) dy dx or Z ? y=? Z ? x=? f(x, y) dx dy.If necessary, you can split up your answer into a sum or difference of multiple integrals.(a) The square given by the inequalities |x| ≤ 1 and |y| ≤ 1.(b) The disk {(x, y) ∈ R2: x^2 + y^2 ≤ 1}.(c) A triangle with corners at (−1, 1), (1, 0), and (0, 1).(d) The portion of the square in part (a) satisfying y ≥ 3x^2 − 1. Write the integral of a function f(x, y) over the following regions. Do not use a substitution;your integrals should be in one of the forms.?.?La=? Jy=?f(x, y) dy dx orf(x, y) dx dy.y=?If necessary, you can split up your answer into a sum or difference of multiple integrals.(a) The square given by the inequalities |x| ≤ 1 and |y| ≤ 1.(b) The disk {(x, y) = R² : x² + y² ≤ 1}.(c) A triangle with corners at (-1, 1), (1, 0), and (0, 1).(d) The portion of the square in part (a) satisfying y ≥ 3x² - 1.

Answered: Image /qna-images/answer/92d5783d-62de-49d4-bc52-464e0bb17f2b.jpg

Write the integral of a function f(x, y) over the following regions. Do not use a substitution; your integrals should be in one of the forms. ? .? La =? Jy=? f(x, y) dy dx or f(x, y) dx dy. y=? If necessary, you can split up your answer into a sum or difference of multiple integrals. (a) The square given by the inequalities |x| ≤ 1 and |y| ≤ 1. (b) The disk {(x, y) = R² : x² + y² ≤ 1}. (c) A triangle with corners at (-1, 1), (1, 0), and (0, 1). (d) The portion of the square in part (a) satisfying y ≥ 3x² - 1.

Write the integral of a function f(x, y) over the following regions. Do not use a substitution; your integrals should be in one of the forms. ? .? La =? Jy=? f(x, y) dy dx or f(x, y) dx dy. y=? If necessary, you can split up your answer into a sum or difference of multiple integrals. (a) The square given by the inequalities |x| ≤ 1 and |y| ≤ 1. (b) The disk {(x, y) = R² : x² + y² ≤ 1}. (c) A triangle with corners at (-1, 1), (1, 0), and (0, 1). (d) The portion of the square in part (a) satisfying y ≥ 3x² - 1.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 6ECP: Find the intensities of earthquakes whose magnitudes are aR=6.0andbR=7.9.

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