For the following exercises, split the region between the two curves into two smaller regions, then determine the area by integrating over the x-axis. Note that you will have two integrals to solve. 3. y = x³ and y x2 + x YA Vg(x) = x² + x 4 3- 1+ F(x) = x³

For the following exercises, split the region between the two curves into two smaller regions, then determine the area by integrating over the x-axis. Note that you will have two integrals to solve. 3. y = x³ and y x2 + x YA Vg(x) = x² + x 4 3- 1+ F(x) = x³

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

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Area between curves

For the following exercises, split the region between the two curves into two smaller regions, then determine the
area by integrating over the x-axis. Note that you will have two integrals to solve.
3. y = x³ and y = x² + x
y
/g(x) = x² + x
3+
1+
F(x) = x³
-2
-1
1
2 x
-1
4,
2.

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