Smoking tobacco is bad for your circulatory health. in an attempt to maintain the blood's capacity to deliver oxygen, the body increases its red blood cell production, and this increases the viscosity of the blood. in addition, nicotine from tobacco causes arteries to constrict. for a nonsmoker, with blood viscosity of 2.5×10−3pa⋅s, normal blood flow requires a pressure difference of 8.0 mm of hg between the two ends of an artery. if this person were to smoke regularly, his blood viscosity would increase to 2.7×10−3pa⋅s, and the arterial diameter would constrict to 90 % of its normal value.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

If y gets smaller as x gets bigger and y have an relationship?

An athlete is holding 24 lb of weights at a height of 6 inches above the stack as shown. to lower the weights, she applies a constant force of 5 lb to the handle. determine the velocity of the weights immediately before they hit the stack.