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Use the counterexample method to prove each of the following arguments invalid.
All diabetes victims are either insulin takers or glucose eliminators. Accordingly, some diabetes victims are glucose eliminators, since some diabetes victims are insulin takers.
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
In 2004, these figures had risen to 77.8 and 83.7, respectively. In both cases, the increase in life expectancy has been linear. Using these assumptions and the data given, and the maximum life expectancy for humans. Source: Science.
What was the book value of the equipment inventory at the six-year point, substituting the new hydraulic lift for the original after the new lift had joined the inventory?
define an equation to represent the baker's income based on the number of loaves and muffins he makes. How many of each should he make for maximum income?
Plot different members of the families y1=x2+C1 and y2=-x2+C2. Constuct a piece wise defined function- not a member of the previous two- which is also a solution of the same DE.
Find the points where the two curves intersect. Use part (alpha) to find slope of the tangent line to each curve at points of intersection. Confirm that the tangent lines to each curve at the intersection points are perpendicular.
Two investments are made totaling $8800. For a certain year these investments yielded $1326 in simple interest. Part of the $8800 was invested at 14% the part at 16%. Find the amount invested at each rate.
What is the square root of the 1521. once you have that answer, divide it by 13 and multiply it by 7. What would be your result?
What is time series decomposition? & Also, please feel free to elaborate upon time series composition topics that you found most interesting.
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
A motor boat takes 4 hours to travel 352 km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
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