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Problem 1:
A tank contains 100 gal of brine may by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4gal/min and the mixture, which is kept uniform by stirring, runs out at the same rate. Find the amount y(t) of salt in the tank at any time t.
Problem 2:
For a continuous and onto function F from [0,2] to [0,4]. Show that F(x) = 2x for some .
Problem 3:
2011 students standing in a row, each of a different height. In how many ways can you arrange them such that there are never three of them (not necessarily next to each other) with the tallest in the middle? Explain.
Explain how synthetic division may be used to find the factors/zeros of a polynomial function. Give an example of how this is accomplished.
Factor each trinomial using the AC method.
imagine you are tutoring a classmate in the four algebraic processes. define each process and provide an example of
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Solve equation in single variable
Suppose R=Z, m=(5). Describe S^-1R.
coffee palace s manager joe felan suspects that demand for mocha latte coffees depends on the price being charged.
What lump sum should be invested today
Let (N,
Write a matrix system of equations for the amounts and of salt in the two tanks after t minutes. Solve the system using matrix methods. Calculate how long it takes for tank 2 to have a salt concentration of 1 pound per gallon.
Look at the graph and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
What factors might make the assumption of exponential growth a faulty assumption?
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