Point $( 3,2 )$
A) $x ^ { 3 } - 3 x y + 7 y ^ { 3 } = 77$

question 34

Multiple Choice

$\text { Find an equation for the curve with the slope } \frac { d y } { d x } = \frac { y - x ^ { 2 } } { 7 y ^ { 2 } - x } \text { passing through the }$ point $( 3,2 )$ .

• A) \(x ^ { 3 } - 3 x y + 7 y ^ { 3 } = 77\)
• B) \(x ^ { 2 } - 2 x y + 7 y ^ { 2 } = 6\)
• C) \(x ^ { 3 } - 3 x y + 7 y ^ { 3 } = 65\)
• D) \(x ^ { 3 } + 3 x y - 7 y ^ { 3 } = - 11\)
• E) \(x ^ { 2 } - 2 x y + 7 y ^ { 2 } = - 7\)

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Definitions:

Simple Interest

Interest that is computed solely on the initial sum invested or loaned, not taking into account any accumulated interest from previous periods.

Face Value

The nominal or dollar value printed on a security or financial instrument, representing its value upon maturity or redemption.

Treasury Bill

A short-term government security issued at a discount from the face value and yielding the face value upon maturity.

Market Rate

The prevailing interest rate available in the marketplace for securities or loans, dictated by supply and demand forces.