Find the derivative of w = x y cos ⁡ ( z ) , x = t , y = t 2 , z = cos − 1 ⁡ ( t ) {“version”:”1.1″,”math”:”w = xy\cos(z), x=t, y=t^2, z = \cos^{-1}(t)”}

Created an iterated integral to find the area of the region bounded by the graphs of the equations. y = 4 − x 2   &   y = x + 2 {“version”:”1.1″,”math”:”y=4-x^2~\text{&}~y=x+2″}

Link to Desmos   a) If an Earth bound observer observes that 42 seconds has passed and an observer on a spacecraft that is moving away from Earth observes that 30 seconds has passed, how fast is the spacecraft travelling away from the Earth?   b) A spacecraft travelling past the Earth observes a distance between two Earth bound buildings to be 50m, if it is travelling at a speed of 1.78 x 108 m/s, what would be the distance between the two buildings from the perspective of a person on Earth?

Free Response Section Scan and submit your full solutions to questions 6-8 including parts (a)-(c) through the Gradescope page on the left side in your Canvas course. Show all work for each of the following questions by showing all necessary steps. Organize your work in an unambiguous order and and show your work legibly. Please simplify your answers as much as possible, and box your final answers.       

In a monopolistic market, 

Sole proprietorships and partnerships are firms owned by shareholders and typically hire a manager for business operations. 

A respiratory therapist is reviewing a patient’s ventilator flow sheet. While the patient’s ventilatory parameters have not changed, the therapist observes the following PETCO2 values recorded over a period of six hours.1400   32 torr1600   34 torr1800   40 torr2000   42 torrWhich of the following should the therapist conclude?

Solve for H and T. H = [h] T = [t]

How might a patient’s orthopedic care be affected if they do not have private health insurance? Select all that apply. 

In which of the following scenarios is a patient most likely to experience symptoms of jet lag?