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Home » Find the derivative of \(f(x) = \ln(x^2 + 1)\) at \(x = 1\). - go-checkin.com

Find the derivative of \(f(x) = \ln(x^2 + 1)\) at \(x = 1\). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 138,000

📌 A store offers a 25% discount on a jacket originally priced at $120. If the sales tax is 8%, what is the final price after the discount and tax?

📌 Discount amount:

📌 \( 120 \times 0.25 = 30 \)

📌 Discounted price:

📌 \( 120 - 30 = 90 \)

📌 Sales tax on discounted price:

📌 \( 90 \times 0.08 = 7.20 \)

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Substitute $ t = 10 $:
$ P(10) = \frac{1000}{1 + 9e^{-2}} $
$ e^{-2} \approx 0.135 $
$ P(10) = \frac{1000}{1 + 9(0.135)} = \frac{1000}{1 + 1.215} = \frac{1...
#### 451.47
A robotic arm’s torque $ \tau $ is given by $ \tau = r \times F $, whe...
Torque formula: $ \tau = rF \sin(\theta) $
$ \tau = 0.8 \times 50 \times \sin(60°) $
$ \sin(60°) = \frac{\sqrt{3}}{2} \approx 0.866 $
$ \tau = 40 \times 0.866 = 34.64 $ N·m

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