Blog

A herring swimming along a straight line has travelled \( s(t)= \frac{t^2}{t^2+2} \) feet in \( t \) seconds, where \( s(t) \) is called the position function.  Find the average rate of change of position (average velocity) of the herring between \( t=0 \) seconds and \( t=2 \) seconds.  Use complete sentences with the correct units. Round to the nearest hundredth where necessary. Provide your answer in the space below.  Show any work on your written work page.

F6:  Given a function in any of the four representations, evaluate and interpret the average rate of change on a closed interval.  Calculate the difference quotient for a quadratic or rational function. The following 2 questions are optional. If you complete both of them, I will grade them as RECOVERY points on Exam 1.

Sketch a good enough graph of the function \( f(x)=2x^2(x-1)^2(x+2) \).  Label all zeros, show correct behavior at those zeros, and show the correct end behavior. Show your graph and any work on your written work page.

Provide your complete sentence answer in the space below. Show ALL work on your written work page.

F7:  Identify and apply translations, reflections and/or rescalings (compress/stretch) to a function in any of the four representations.  Express the result of these transformations graphically or algebraically  

A patient tells the nurse that the healthcare provider mentioned an organ removal surgery for treatment of myasthenia gravis (MG). What organ is removed?

The nurse is planning to institute seizure precautions for a client who is being admitted from the emergency department. Which measures should the nurse include in planning for the client’s safety? Select all that apply.

A nurse is caring for a client following surgical treatment for a brain tumor. Which of the following interventions should the nurse take?

The nurse is caring for the client with increased intracranial pressure (ICP). The nurse would note which trend in vital signs if the ICP is rising?

A patient recently diagnosed with amyotrophic lateral sclerosis is having difficulty with swallowing and has been choking and coughing excessively at mealtimes. The nurse implements which action first?