Pregunta
Ask by Powell Medina. in Russia
Jan 23,2025
Solución de inteligencia artificial de Upstudy
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Solución
The given expression is
.
The hyperbolic sine function is defined as:
Substitute
into the expression:
Now, we can calculate the value of
using the above expression.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Remove the parentheses:
- step2: Evaluate the power:
- step3: Evaluate the power:
- step4: Multiply by the reciprocal:
- step5: Multiply the fractions:
- step6: Multiply:
The value ofis approximately 1.175201.
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The Deep Dive
Did you know that the hyperbolic sine function,
, is defined as
? So, when you calculate
, you’re actually plugging in your value into this formula:
. This means you’ll get a numerical value that beautifully combines the exponential growth and decay of the
function!
In real-world applications, hyperbolic functions like
are used in areas like engineering, physics, and even in describing the shapes of arches and bridges. They can help model processes involving constant acceleration, such as the motion of an object under gravity, showcasing how mathematics elegantly mirrors the world around us!

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