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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.
Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.
Sketch the region enclosed between 2 - z = x2 + y2 and z2 = x2 + y2. Describe their curve of intersection
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
In what range of values do the proportions p from 95% of all samples fall? (c) In what range of values do the proportions p from 99.7% of all samples fall?
a square garden plot measures 125 square feet. a second garden plot measures 245 square feet. how many for feet of fence will the second garden plot require?
Jack and Jill decide to have a four-lap race (i.e. 4 m meters) with each runner agreeing to run only in his/her lane. If Jack runs in lane two, how far ahead of jill should be begin if the finish line is jill's starting point?
Find the inverse Laplace transform: L^-1(3s + 1/s^(2) + 4)=?
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
Determine the probability that the cholesterol content will be greater than 220 milligrams.
The county of Blue needs $800,000 from property tax to meet its budget requirements. The total value of assessed property in Blue is $140,000,000.
Find all subgroups of cyclic group - Find all subgroups of C18, explaining your answer.
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