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Two quantities (x,y) are proportional if one is a constant (k) multiple of the other (y=kx for some constant k.) Two quantities (x,y) are jointly proportional to a third quantity (z) if their product is a constant multiple (k) of the third (z=kxy).
1. Write differential equations for the following scenarios:
a. The rate of infection is constant.
b. The rate of infection is increasing at a rate that is proportional to the number of infected people.
c. The rate of infection is increasing at a rate that is proportional to the number of infected people and decreasing at a rate that is proportional to the number of infected people.
d. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people.
e. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people and decreasing at a rate that is proportional to the number of infected people.
If it takes the doctor 80 minutes to prepare a tooth for a crown, and 30 minutes to seat the crown and the fee for the crown is $550, what does the doctor produce per hour?
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
Q 1 : What are the least, and most, amount of distinct zeroes of a 7th degree polynomial, given that at least one root is a complex number?
1) a) How many 16 bit strings of 0's and 1's contain exactly 7 1's? b) How many 16 bit strings of 0's and 1's contain at least one 1?
Find the lengths of both circular arcs on the unit circle connecting the point and the point that makes an angle of with the positive horizontal axis.
explain and provide an example of the method used to solve a linear inequality in two variablesis it possible to use
Find an equation of the tangent plane to the surface x2y + y2z = -1 at the point (2, -1, 3) - Find an equation of the plane perpendicular to the planes
Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary nonzero integer if necessary. If an answer does not exist, enter DNE.)
The biconditional statement p↔q is false
An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviation of 10. Does the company have reason to believe that these inspect..
What is Handshake probability. Rosie Raccoon went up a tree, which was ten feet and three. Every day she climbed eleven, every night she came down seven
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
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