Find the indicated limit, if it exists.(7 points) 

A 40-year-old female patient with a history of hypertension presents for a routine examination. Auscultation of the chest reveals a pansystolic murmur best heard at the cardiac apex, radiating to the axilla. There is a third heart sound, S3. The murmur is high pitched and harsh blowing. You listened to her heart using the diaphragm of the stethoscope when she was in the supine position. Which of the following is most likely the etiology of the murmur?

Graph the ellipse with equation = 1. (5 points)

You are considering a beam design that has dimensions of b = 14 in., h = 22 in., and d = 19.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 4,300 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?

Answer the following questions         If the coding strand of DNA has a sequence   —- GACTCTGGCAGAAATC——   Write the sequence of the other strand of DNA     

Which symbol represents the strain in the tension reinforcement of a reinforced concrete beam?

A radio telescope has a parabolic surface, as shown below.   If the telescope is 1 m deep and 12 m wide, how far is the focus from the vertex? (5 points)

Your next patient is a 70 year old male. He experienced a brief onset of right-sided weakness, slurred speech and confusion one day ago. This episode lasted an hour and a half. He has a history of hypertension and Type 2 diabetes mellitus . His ABCD Score for Acute Cerebral Vascular Syndrome (Transient Ischemic Attack) is 8 (the highest possible score). The symptoms resolved and he feels fine today. As this patient’s primary care provider (PCP) you would: 

Find the standard form of the equation of the parabola with a focus at (0, -8) and a directrix at y = 8. (5 points)

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.268 in., determine the strain in the compression reinforcement, ε’s.