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Home » \( 121,000 imes 1.10 = 133,100 \) - Abu Waleed Tea

\( 121,000 imes 1.10 = 133,100 \) - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Use the Pythagorean identity: \( \sin^2(x) + \cos^2(x) = 1 \).

📌 So, \( \left(\frac{3}{5}\right)^2 + \cos^2(x) = 1 \) gives \( \frac{9}{25} + \cos^2(x) = 1 \).

📌 Solving for \( \cos^2(x) \) gives \( \cos^2(x) = 1 - \frac{9}{25} = \frac{16}{25} \).

📌 Since \( x \) is in the first quadrant, \( \cos(x) = \frac{4}{5} \).

📌 #### \(\frac{4}{5}\)

📌 The function \( f(x) = x^3 - 3x^2 + 4 \) has a local minimum at \( x = a \). Find the value of \( a \).

📌 First, find the derivative: \( f'(x) = 3x^2 - 6x \).

📌 Set \( f'(x) = 0 \) to find critical points: \( 3x(x - 2) = 0 \).

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\(a_3 = 3(3)^2 + 2(3) + 1 = 34\)
\(a_4 = 3(4)^2 + 2(4) + 1 = 57\)
\(a_5 = 3(5)^2 + 2(5) + 1 = 86\)
Sum: \(6 + 17 + 34 + 57 + 86 = 200\).
A cone has a radius of 3 cm and a slant height of 5 cm. Calculate the...
Use the formula for lateral surface area: \(\pi r l\).
Substitute \(r = 3\) cm and \(l = 5\) cm: \(A = 3.14 \times 3 \times 5...
#### 47.1
A rectangular swimming pool measures 25 meters by 10 meters and is sur...
Original pool area: \(25 \times 10 = 250\) m².

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