Determine all critical points for the function.f(x) = x3 – 12x + 2

Find the average value of the function over the given interval.y = x2 – 5x + 2; [0, 3]

Use implicit differentiation to find dy/dx and d2y/dx2.x2 + y2 = 5

A PTA is assessing the joint ROM for ankle DF and PF.  Which of the following statements is the correct goniometric alignment for the measurement? 

An SPTA is working with a 30 y/o patient who was training for a mountain bike race and wrecked their bike on 7/1/24. No fractures. PT evaluation done 7/5/24. PT requested a reassessment of the below motions today that were limited on evaluation. The patient reports no pain today.   ROM/MMT:    R Knee extension Lt Shoulder IR Trunk flexion   Goals: Increase L shoulder IR ROM to full to enable pt to return to triathlons. Increase L shoulder strength to 5/5 to enable pt to return to triathlons. Increase R knee extension strength to 5/5 to enable pt to return to triathlons.  Increase trunk flexion ROM and strength to full to enable pt to return to triathlon training. POC: Assess R knee ext, L shoulder IR, and trunk flex ROM and MMT to determine progress.   The SPTA begins with assessing the patient’s left shoulder IR ROM. In the space below, please provide the following information for this ROM assessment:         Pt. Position:      Axis:      SA:      MA:

During a visual assessment of child partaking in a pediatric physical therapy, a PTA observes the following presentation in the photo.  What would the PTA most likely document in the objective section of the not? 

What happens to the bandwidth if the quality factor increases?

What material is used to make high frequency probes used in musculoskeletal exams?

Which of the following is true about Q factor?

Managed care organizations have brought pressure to bear on hospitals and physicians to: