An ideal (Carnot) heat engine has an efficiency of 40%. If the high temperature is raised by 20%, what is the new efficiency while keeping the same low temperature? (1 pts)

Express the sum or difference as a product of sines and/or cosines. Show all work. (4 pts)cos(9θ) – cos(5θ)

A heat engine receives 7 kW from a 300∘C source and rejects heat at 60∘C. If the output power is 5 kW, examine it with respect to the inequality of Clausius. (1 pts)

Convert the angle in degrees to radians. Express the answer as multiple of π.  (2 pts each)a.  -54° b.  440°

Facial lacerations are associated with heavy bleeding and often require sutures (stitches) to the injury site.

2. When the following compound is treated with Br2 and a Lewis acid, one product predominates. Predict the structure of the major product.  (7 pts)

Find the exact value of the remaining 5 trigonometric functions of θ. Circle all answers.  Show work to support your answers.  (10 pts)sec θ =

The following pressure vs. volume waveform was observed while a female patient is breathing on CMV. Based on the diagram below, what might she have?

Express as a single logarithm. (4 pts)4log6x + 5log6(9x + 2)

One of the themes of the class was individual differences: How children develop to be different from each other, their siblings, or their parents, despite similar environments, similar genes, similar cultures, etc. In two to three sentences, describe how you have noticed this phenomenon in your own life (whether in your own family or observing it with others).