A Conic Has Equation $32 x ^ { 2 } + 48 x y + 18 y ^ { 2 } - 14 x + y - 25 = 0$

question 45

Essay

A conic has equation $32 x ^ { 2 } + 48 x y + 18 y ^ { 2 } - 14 x + y - 25 = 0$ .
(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.

Understand and implement grammar standards in business writing.

Correctly use punctuation in business writing.

Apply basic principles of capitalization in sentences.

Distinguish between correct and incorrect capitalization in specific contexts.

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Definitions:

Depolarization

A process in which the electrical charge of a cell membrane is reduced, allowing for the initiation of electrical impulses in nerve and muscle cells.

Electrical Impulses

Rapid, transient flows of electric charge that transmit information within the nervous system and across synapses, or power devices like pacemakers.

SA Node

The sinoatrial node, a group of cells in the right atrium of the heart that initiates the heart's electrical impulses, acting as a natural pacemaker.

AC Interference

Alternating Current interference; disturbances in electronic equipment caused by alternating current supply.