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The number of heart transplants, y, performed in the U.S is given by Y= 55x + 2157, where x represents the number of years after 2001.
a) According to this model, how many heart transplants were performed in the U.S in 2001?
b) According to this model, how many heart transplants can be expected in the U.S in 2020?
c) According to this model, in what year will there first be more than 5000 heart transplants performed in the U.S?
d) Explain in one or two sentences what the slope means in the context of this problem.
Let f(x) = arctan (x/(2-x^2)) Using the rules for differentiation given in lectures, find f'(1), simplifying your derivative before evaluating it,and clearly indicating your working.
Find the least complete solution to the congruence. Start by making a table of the least residues of 12, 22, ...., 82 (mod 17). 5x2 + 11x - 2 ≡ 0 (mod 17)
A random sample of 42 salespersons were asked how long on average they were able to talk to a potential customer. Their answers revealed a mean of 8.100000000 with a variance of 6 minutes. Construct a 95% confidence interval for the time it takes ..
Draw the graph of pair of linear equation:-2y=4x-6
You have a choice to build a small new plant, do nothing (the value of this is zero), or build a large plant. We'll use Net Present Value to compute this.
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Which of the properties below follow without further restriction on f by applying the Intermediate Value Theorem?A) f^2 (c) is 1/4 for some C in (-2,2)
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
For each piecewise linear function graph the function and find: lim f(x) lim f(x) lim f(x) x->4- x->4+ x->4 (a) f(x) = { x-2 if x =4 (b) f)x)= ( 2 if x =3
Their answers revealed a mean of 8.100000000 with a variance of 6 minutes. Construct a 95% confidence interval for the time it takes a salesperson to talk to a potential customer.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
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