A physical therapist is evaluating a direct access patient with that complains of lumbopelvic pain.  The patient is a 60 y/o male that points to the lower abdominal and sacrum regions when asked where the pain is located.  He reports that he cannot recall a specific incident where he may have injured his back.  He does report a history of back pain 5 years ago following shoveling snow after a heavy storm, but it resolved in about 2 weeks with rest and Advil.  He reports a past medical history of diabetes mellitus, lung cancer 8 years ago successfully treated with chemotherapy, and a left knee replacement 2 years ago.  Which of the following is the MOST appropriate examination procedure to initially incorporate?  

A physical therapist is working with a patient with low back pain, insidious onset.  The patient demonstrates mild limitations in lumbar flexion and extension ROM, as well as mild hypomobility of the lumbar spine with P-A accessory motion testing.  The lower extremity MMTs are all 5/5.  During the examination, the physical therapist is unable to elicit/provoke the patient’s symptoms.  Special testing is (-).  Which of the following is the BEST choice for patient management?  

Compute the upper limit of the 95% confidence intervals for the inventory of a series of [CC] replications of the simulation of a system, where the average inventory is [AA] units and the SAMPLE standard deviation is [BB]

Perform the indicated operation: 

Graph the function on your submission paper.  Label all asymptotes and intercepts. f (x) =

Solve the problem on your submission paper.  f (x) = a. Graph f (x)b. Write an equation for f -1(x)c. Write the domain of f -1 in interval notation

Find two functions f and g such that h(x) = (f g)(x).h(x) = (x + 5)6

Find all the zeros of the polynomial. Show your work on your submission paper. 

Use the remainder theorem to evaluate the polynomial for the given value of x. 

Perform the indicated row operations, then write the new matrix on the submission paper.