Find the Eccentricity and Identify the Conic Given By $r = \frac { 16 } { 2 + 6 \sin \theta }$

question 74

Essay

Find the eccentricity and identify the conic given by $r = \frac { 16 } { 2 + 6 \sin \theta }$ , sketch it and label its vertices.

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Definitions:

Cy Pres Trust

A legal principle allowing courts to modify charitable trusts or gifts to closely match the donor's intent if the original purpose becomes impracticable or impossible to achieve.

Spendthrift Trust

A legal arrangement that prevents the beneficiary's creditors from accessing the trust funds, providing long-term financial security for the beneficiary.

Spendthrift Provisions

Clauses in trust agreements that prevent beneficiaries from squandering their inheritances or creditors from claiming the trust assets.

Trust Corpus

The principal amount or assets held in trust, as differentiated from the income generated by those assets.