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Use the method of undetermined coecients to fi nd the general solution of
y''-2y'-3y=2e^3x
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
Even though independent gasoline stations have been having a difficult time, Susan Solomon has been thinking about starting her own independent gas station. Susan's problem is to decide how large her station should be.
An executive invests $24,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,800, how much is invested at each rate?
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 + 4x - 12. Determine the following. Use complete sentences and show all work to receive ..
The accompanying table shows the total cost of purchasing combinations of differently priced CDs. The types of CDs are labeled A, B, and C.
Here is an example of what: In space Reals with the "usual topology.", call it X, the covering A={(-n, inf) | n natural number} of X contains no finite subcollection that covers X.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
A woman exerts a horizontal force of 10 pounds on a box as she pushes it up a ramp that is 7 feet long and inclined at an angle of 30 degrees above the horizontal.
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