A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by \( E^{\prime}(x)=12 x+10 \), where \( x \) is the number of days since the start of the job. Find the expenditure if the job takes 4 days. A. \( \$ 5,800 \) B. \( \$ 13,600 \) C. \( \$ 136 \) D. \( \$ 58 \)

1) \( f(x)=\sqrt{\frac{2}{\sqrt[x]{e 6 x+1}}} \)

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True

asymptotes of \( f \).

5. [12 marks] Using calculus and showing all your working, sketch the function \[ f(x)=\frac{x}{x^{2}-4} \] noting the domain of \( f(x) \), any intercepts or asymptotes, symmetry, regions where the function is increasing or decreasing and any relative extrema. Note: You don't have to consider the second derivative and concavity.

s] Using calculus and showing all working, graph the function \[ f(x)=\frac{x+2}{x^{2}-1} \]