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When mixing a certain cocktail a barperson starts with a 5 litre solution of 10% alcohol. Into this solution the barperson mixes vodka (40% alcohol) at the rate of 2 litres/minute and pours into glasses at the rate of 3 litres/minute.
a. Find a formula for the volume V(t) of the mixture at time t minutes.
b. Find a differential equation that tells the rate of change of the amount of alcohol A(t) at time t minutes.
c. Solve the differential equation and use the initial condition to find a formula for A(t).
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.
chlorine residual is desired,how many kgs of chlorine per day are required for a flow of 1000 cubic meters per hour
rocky currently has 85000 in his rrsp. he is going to contribute 5000 at the end of every six months for the next 18.5
Calculate the total number of outcomes in the sample space if an experiment has 5 outcomes on the first trial, 4 outcomes on the second trial, 4 outcomes on the third trial, and 6 outcomes on the fourth trial.
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through the surface of the solid bounded by the graphs of the equations.
The electrical signal created by a piece of test equipment at a specific point in time is described by the function Vinst(t) = 12 × sin(360 × 60 × 6.3 + 79). What is the maximum voltage produced by the system.
A Cooling evaporator in a fridge case with a design temperature of 5 Deg C. The Air off and Air on the fridge coil varies pending Ambient, Product, Product temperature/Mass etc.
Rational and Jordan Canonical Forms, Find the rational canonical form and the Jordan canonical form(if possible) for the linear tansformations f: R^3->R^3 given by the matrix
The upper left-hand corner of a piece of paper 8 in. wide by 12 in. long is folded over to the righthand edge as in the figure. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances to the nearest tenth of a kilometer.
in the second quarter, sales increased by 15% for region b, and region a had 1.5 times as many sales as region b. what region a sales in the second quarter?
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