2. Further Pure 2
Special Functions — Quiz
Test your understanding of special functions with 5 practice questions.
Practice Questions
Question 1
Which of the following is the correct integral of $\cosh(x)$ with respect to $x$?
Question 2
If $y = \text{arccosh}(x)$, what is the domain of this function?
Question 3
Which of the following is the correct definition of the hyperbolic cotangent function, $\coth(x)$?
Question 4
A cable hanging under its own weight forms a curve described by a hyperbolic cosine function. If the lowest point of the cable is at $(0, 10)$ and the equation of the curve is $y = A \cosh(Bx) + C$, what is the value of $C$?
Question 5
If $y = \text{arsinh}(x)$, what is $\frac{dy}{dx}$?