The Hyperbolic Cosine Function Is Defined as Follows $f(x)=\cosh (x)=\frac{e^{x}+e^{-x}}{2}$ Use the Taylor Polynomial For Defined

question 52

Multiple Choice

The hyperbolic cosine function is defined as follows: $f(x) =\cosh (x) =\frac{e^{x}+e^{-x}}{2}$ .Use the Taylor polynomial for $e^{x}$ near 0 to find the Taylor polynomial of degree 4 for $f(x) =4 \cosh (x)$ .

• A) \(4-\frac{4 x^{2}}{2 !}+\frac{4 x^{3}}{3 !}-\frac{4 x^{4}}{4 !}\)
• B) \(4\left(1+\frac{x^{2}}{2}+\frac{x^{4}}{24}\right)\)
• C) \(4+\frac{3 x}{1 !}-\frac{3 x^{2}}{2 !}+\frac{x^{4}}{24}\)
• D) \(4+4 x+\frac{4 x^{2}}{2}+\frac{4 x^{3}}{3 !}+\frac{4 x^{4}}{4 !}\)

Understand how to add and format page numbers, dates, and totals in reports.

Understand the concepts of test validity and reliability.

Identify methods for determining the predictive validity of a test.

Compare and contrast reliability and validity in psychological testing.

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Definitions:

Soluble

Capable of being dissolved in a solvent, typically referring to substances that can dissolve in water.

Oxygen Atoms

Fundamental particles that make up oxygen gas (O2), essential for cellular respiration and critical to life's biochemical processes.

Saturated Triacylglycerol

A type of fat molecule known as a triglyceride, where all carbon atoms in the fatty acid chains are saturated with hydrogen atoms, resulting in no double bonds.

Fatty Acid Chains

Long hydrocarbon chains with a carboxylic acid group at one end, found in fats and oils, and serve as major components of cell membranes and energy storage molecules.