Find an Equation of the Tangent Line to the Curve $120 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 2312 \left( x ^ { 2 } - y ^ { 2 } \right)$

question 61

Multiple Choice

Find an equation of the tangent line to the curve $120 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 2312 \left( x ^ { 2 } - y ^ { 2 } \right)$ at the point $( 4,1 )$ .

• A) \(y = - 1.11 x + 17\)
• B) \(y = - 1.11 x + 3.43\)
• C) \(y = 1.11 x + 5.43\)
• D) \(y = - 1.11 x + 5.43\)
• E) None of these

---

Definitions:

Budget Constraint

A budget constraint outlines the mix of goods and services a consumer is able to buy, based on their income and the prices of those goods and services.

Budget Constraint

A budget constraint represents the combination of goods and services that a consumer can purchase given their income and the prices of those goods and services.

Marginal Utility

The incremental enjoyment or value obtained from consuming an extra unit of a good or service.

Income-Consumption Curve

A graph that shows how a consumer's optimal bundle of goods changes as their income changes, all else being constant.