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Blood Flow. A typical human heart pumps 70mL of blood with each stroke (stroke volume). Assuming a heart rate of 60 beats/min, a reasonable model for the outflow rate of the heart is V'(t)(1+sin 2 π t) where V(t) is the amount of blood (in milliliters) pumped over the interval [0,t], and t is measured in seconds.
Graph the outflow rate function.
Verify that the amount of blood pumped over a one second interval is 70mL.
Find the function that gives the total blood pumped between and a future time t>0.
What is the cardiac output over a period of 1 min. (use calculus, the check answers with algebra.
A woman walks due west on the deck of a ship at 2 mi/h. The ship is moving north at a speed of 15 mi/h. Find the speed and direction of the woman relative to the surface of the water. (Round your answers to one decimal place.)
Gravel is being dumped from a conveyor belt at a rate of 50 {rm ft}^3{rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile i..
A dog with a leash 5m in length is tied to the outside of a silo with a radius of 20m. What is the approx area the dog has to freely move about?
a health inspector at a restaurant will enter the kitchen and choose 5 stations to inspect from a predetermined list of
Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
Determine the key factors that influence the occurrence of your chosen hazard. Aanalyze the human role in elevating the risks of occurrence, as well as mitigation strategies to minimize damage and loss of life.
An economist predicts that the buying power B(x) of a dollar x years from now will decrease according to the formula B(x) =0.79x. How much will today's dollar be worth in 3 years? Round the answer to the nearest cent.
Mariella is selling raffle tickets for a school fundraiser. Adult tickets cost $4 and student tickets cost $3. If she has collected %165 so far, how many adult tickets did she sell?
There is a linear equation that expresses B in terms of her weight. Find the equation and find the basal energy requirment if her weight is 53.2 kg.
An anchor weighing 125 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 50 ft.
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*.
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