A Conic Has Equation $8 x y = 1 - x ^ { 2 } - y ^ { 2 }$

question 77

Essay

A conic has equation $8 x y = 1 - x ^ { 2 } - y ^ { 2 }$ .
(a) Use the discriminant to identify the conic.
(a) by graphing the conic with a graphing calculator.
(b) Confirm your answer in part
(c) Find the angle necessary to eliminate the $x y$ - term.

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Definitions:

Fixed Amount Requirement

A stipulation that requires a specific, predetermined amount of money to be paid or received in a transaction or contract.

Negotiable Instruments

Written documents guaranteeing the payment of a specific amount of money, either on demand or at a set time, with the payer's name written on it.

Promissory Note

A financial instrument in which one party promises in writing to pay a determinate sum of money to the other, either at a fixed or determinable future time or on demand of the payee, under specific terms.

Payable on Demand

A term indicating that a financial obligation must be paid by the debtor as soon as the creditor requests payment.