Evaluate the Integral by Changing the Order of Integration in an Appropriate

question 59

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $\int _ { 0 } ^ { 64 } \int _ { 0 } ^ { 7 } \int _ { \sqrt [ 3 ] { x } } ^ { 4 } \frac { z } { y ^ { 4 } + 1 } d y d z d x$

• A) \(\frac { 49 } { 8 } \ln 65\)
• B) \(\frac { 49 } { 8 } \ln 257\)
• C) \(\frac { 49 } { 4 } \ln 65\)
• D) \(\frac { 49 } { 4 } \ln 257\)

Analyze how changes in prices affect consumer's optimal consumption bundles.

Define and calculate the marginal rate of substitution.

Distinguish between normal and inferior goods based on consumer income levels.

Describe the impact of taxes and subsidies on consumer choices.

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