Find a power series for the following function. f ( x ) = 2 sin ⁡ x cos ⁡ x {“version”:”1.1″,”math”:”f(x) = 2\sin x \cos x”}Hint: Start with a trigonometric identity to rewrite the function.

***Your patient comes in and makes the following statements.  Name an abdominal condition that comes to mind relevant to the situation (use medical term)  (1pt each):  A. Severe abdominal pain after eating a greasy meal at McDonalds:   B. Patient took a blow to the stomach, and “can’t catch their breath”:   C. Patient notes bruising around their umbilicus:   D. Pain on left side and in their left shoulder:   E. I haven’t been able to pass gas for a day or so:   F. My abdominal pain gets worse after I eat:   G. LLQ pain:   H. My pain is so bad I avoiding going over train tracks as I drove here:    

First, prove that the following series converges. Second, calculate the number of terms n that must be added in order to find the sum to within 0.01 and type your answer into the answer box. ∑ n = 1 ∞ ( − 1 ) n 4 n 2 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty (-1)^n \frac{4}{n^2}”}

A patient with anemia and chronic kidney disease is most likely to be treated initially with which supportive therapy?

Provide 3 differential Dx for the following situation: C. Scrotal mass

Pick 2 of the skin condition in the previous question and provide the Return to Play guidelines associate to the condition.  Please specify if it is a High School or NCAA guideline. 

Q 9***Where are the 4 main locations for cardiac auscultations.  Include which valve is at each site and provide an example of a pathological sound you are listening for.   1. 2. 3. 4.             Pathological Sounds:____________________________________________

What clinical finding is classically associated with chronic hemolysis?

Besides referral, how would the following conditions be managed by you or the MD (2 each) a. Commotio Cordis   d. Hypertrophic Cardiomyopathy      

Several common contagious diseases present with “flu-like” symptoms.  Provide 3 conditions (beside actual influenza or common cold) that present the same.  Define each and explain what specifically you will do to differentiate the condition from the flu. 1. ___________________________:   2. ___________________________:   3. ___________________________: