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Home » Substitute \( t = rac32 \) into \( H(t) \): - go-checkin.com

Substitute \( t = rac32 \) into \( H(t) \): - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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A' = \frac{\sqrt{3}}{4} (10)^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sq...
\Delta A = 36\sqrt{3} - 25\sqrt{3} = 11\sqrt{3} \, \text{cm}^2
\boxed{11\sqrt{3} \, \text{cm}^2}
\]1. A circle has a radius of 7 cm. Calculate its circumference and th...
The formula for the circumference of a circle is \(C = 2 \pi r\).
Substituting the given radius, \(C = 2 \times 3.14 \times 7 = 43.96 \,...
Substituting the given radius, \(A = 3.14 \times 7^2 = 3.14 \times 49...
#### Circumference: 43.96 cm, Area: 153.86 cm²
Solve for \(x\) in the equation \(3x + 5 = 2x + 12\).
Subtract \(2x\) from both sides: \(3x - 2x + 5 = 12\) simplifies to \(...

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g(u) = u^2 - 4u + 4 + 4u - 8 + 5 = u^2 + 1
So, $ g(u) = u^2 + 1 $.
Now substitute $ u = x^2 - 2 $:
g(x^2 - 2) = (x^2 - 2)^2 + 1 = x^4 - 4x^2 + 4 + 1 = x^4 - 4x^2 + 5
\boxed{x^4 - 4x^2 + 5}
Question: Let $ x, y, z $ be positive real numbers such that $ x + y +...
\frac{x^2}{y} + \frac{y^2}{z} + \frac{z^2}{x}.
Solution: We are to minimize the expression
subject to $ x + y + z = 1 $, with $ x, y, z > 0 $.
Apply the **Cauchy-Schwarz Inequality** in the following form:

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