The depth of water at the end of a pier varies with the tides. The low tides occur on a particular day at 2:00 a. m. and 2:00 p. m. with a depth of 1.1 m. The high tides occur at 8:00 a. m. and 8:00 p. m. with a depth of 5.3 m. A large boat needs at least 3 m of water to be safely secured at the end of the pier. a) Estimate to the nearest hour the time interval when the boat can be safely secured.
b) Develop a trigonometric function that models the depth of water in meters t hours after midnight.
c) Determine, to the nearest tenth of a meter, the depth of water at noon by applying the function from part b. Noon is 12 hours after midnight.
d) Determine the time to the nearest minute the boat can first be safely secured by using the function from part b.

Which of the following does not cause blindness? a. cataractsb. glaucomac. osteoarthritisd. diabetes

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A92-year-old man with a 45-year history of chronic obstructive pulmonary disease is intubated in the icu because of a bout of viral pneumonia that fails to improve after 72 hours of antibiotics. although the inspired fraction of oxygen is 100%, the patient's po2 remains at 57 mmhg. positive-end expiratory pressure (peep) is added to allow the inspired fraction of oxygen. twelve hours after the introduction of peep the patient suddenly become hypotensive. at the same time, his oxygen saturation drops from 92% to 61%. on physical examination, his bp is 80/50 mmhg and his pulse is 124/min. he has distended neck veins and distant heart sounds. which of the following would also most likely be seen on this patient's physical examination? - absence of breath sounds in the right hemithorax- high amplitude carotid artery upstroke- a pleural friction rub- pulsus alternans- splenomegaly