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Home » Thus, the circumference of the circle is \(\boxed13\pi\) cm. - Veritas Home Health

Thus, the circumference of the circle is \(\boxed13\pi\) cm. - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 To find the derivative \( f'(x) \), differentiate the function \( f(x) = 3x^2 - 2x + 1 \).

📌 The derivative is:

📌 \[ f'(x) = rac{d}{dx}(3x^2) - rac{d}{dx}(2x) + rac{d}{dx}(1) \]

📌 \[ f'(x) = 6x - 2 \]

📌 Now, evaluate \( f'(x) \) at \( x = 4 \):

📌 \[ f'(4) = 6(4) - 2 \]

📌 \[ f'(4) = 24 - 2 \]

📌 \[ f'(4) = 22 \]

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Substitute \( p = 1 \) into E4:
\[ 6(1) + q = 7 \Rightarrow q = 1 \]
Substitute \( p = 1 \), \( q = 1 \) into E1:
\[ 7(1) + 3(1) + r = 11 \Rightarrow 7 + 3 + r = 11 \Rightarrow r = 1 \...
Substitute \( p = 1 \), \( q = 1 \), \( r = 1 \) into equation (1):
\[ 1 + 1 + 1 + s = 3 \Rightarrow s = 0 \]
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\(\boxed{p = 1, \, q = 1, \, r = 1, \, s = 0}\)
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