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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 total distance traveled by the object. Find where the velocity is positive Use interval notation. Find where the acceleration is positive Use interval notation.
Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
a nature photographer wishes to photograph a 25 m -tall tree from a distance of 63 m. what focal-length lens should be
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
2) Starting with 500 bacteria ,a colony grows with a rate proportionnal to its total . It has 800 bacteria after 3 hoursa) Determine the expression that gives the number of bacteria in function of time b) What is the number of bacteria after 4 hours?..
question angles def and angle abc are supplementary angles and angle def is seven times as large as angle abc.
Describe the two methods to simplify a complex fraction. Which of the two methods for simplifying a complex fraction is simpler? Explain your reasoning.
1discuss how atkins method can improve the convergence of a numerical scheme2discuss the pros and cons for netwons
The mean of 40 scores is -29. If each score had 5 added to it, and then divided by 4, what would the mean of these new scores be?
Describe the importance of quadratic equations to a basketball player, diver, or even a sniper. Give an example of a real-world situation where you would apply quadratic equations.
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