If the radius of a sphere is increasing at a rate of 2 cm/min, how fast is the volume increasing when the radius is 5 cm?

A 53-year-old woman who is taking hormone replacement therapy with conjugated estrogen 0.45 mg/day, with medroxyprogesterone acetate 1.5 mg, has bothersome syptoms of genitourinary syndrome of menopause.  You advise that:

A patient presents with pain when descending stairs and notices popping/clicking causing pain on medial side of the knee when attempting to squat.  The physical therapist suspects pathoanatomical involvement of the meniscus.  Which of the following is the MOST recommended special testing?

A physical therapist is evaluating a 50-year-old patient with complaints of non-specific knee pain.  The patient reports a gradual onset of these symptoms over the past few weeks.  On examination, the therapist notes knee range of motion is within normal limits and pain-free, quadriceps MMT is 3/5, and pain seems to be exacerbated during forward trunk flexion.  Which of the following is the MOST likely diagnosis?  

A patient has complaints of medial ankle and medial arch foot pain and numbness of same areas. Which of the following objective exam result is MOST likely?   

A 18 y/o female patient present with a severe PFPS. Examination finds a Q-angle at 17 degrees, medial knee collapse in landing during jumping and a laterally displaced patella during squats which is not present in static stance. Which is the MOST appropriate treatment strategy?

GDP data Year Real GDP (billions of 2009 dollars 2017 14.6 2018 17.3 2019 15.1 2020 12.3 Use the data for real GDP to compute the real GDP growth rate from 2018 to 2019 was _____ %. Round to two decimal places. 

The table below shows output for the country of Copernicus. Compute the nominal GDP.  GDP data 2003 2004 Item Quantity Price Quantity Price Butter 10 $ 11 15 $ 9 Potatoes 25 $ 7 20 $ 8 Onions 7 $ 6 9 $ 12 Nominal GDP in 2003 is $ Nominal GDP in 2004 is $

You should not in any way meddle with the proctoring of the exam. Doing so will result in points deducted from your overall exam score or a score of 0.  This is a closed book exam.

Show on a labor market graph the effects of the following on l* and w*. (If the image does not display, it is a basic labor market graph). Amazon distribution centers are expanding, opening up more locations, due to the popularity of online shopping. The labor demand, LD, The labor supply, LS, The equilibrium labor, L, has The equilibrium wage, w, has