Write the Equation of the Line Tangent to the Curve $x \ln y + 5 x y = 20 \text { at the point } ( 4,1 )$

question 31

Multiple Choice

Write the equation of the line tangent to the curve $x \ln y + 5 x y = 20 \text { at the point } ( 4,1 )$

• A) \(24 y - 5 x = 44\)
• B) \(24 y + 5 x = - 44\)
• C) \(5 x - 24 y = 44\)
• D) \(5 x + 24 y = 44\)
• E) \(5 x + 24 y = 0\)

---

Definitions:

Counteroffer

A proposal made in response to an original offer, changing its terms in the hopes of reaching an agreement.

Settlement Amount

The sum of money agreed upon by parties to resolve a dispute or claim without continuing to trial.

Release

An agreement in which one party frees another from liability, claims, or demands, or the act of making a legal document publicly available.

Offeree's Silence

Generally not considered an acceptance of an offer in contract law, unless certain conditions or previous dealings imply agreement.