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Home » This Butterfly Drawing Will Revolutionize Your Art Skills Overnight! - Anadea

This Butterfly Drawing Will Revolutionize Your Art Skills Overnight! - Anadea

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 To find the horizontal asymptote of the rational function \( G(t) = \frac{3t^2 + 2t + 1}{t + 1} \), we analyze the degrees of the numerator and the denominator.

📌 The degree of the numerator is 2, and the degree of the denominator is 1. Since the degree of the numerator is greater than the degree of the denominator, the function does not have a horizontal asymptote. Instead, it has an oblique (slant) asymptote.

📌 To find the slant asymptote, perform polynomial long division of \( 3t^2 + 2t + 1 \) by \( t + 1 \):

📌 Divide \( 3t^2 \) by \( t \) to get \( 3t \).

📌 Multiply \( 3t \) by \( t + 1 \): \( 3t^2 + 3t \).

📌 Subtract: \( (3t^2 + 2t + 1) - (3t^2 + 3t) = -t + 1 \).

📌 Divide \( -t \) by \( t \) to get \(-1\).

📌 Multiply: \(-1(t + 1) = -t - 1\).

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