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Determine the form of a particular solution for the differential equation. ( Do not evaluate coefficients).
y''+3y'-7y= t^(4)e^(t)
Find the equation of the plane passing through (3,4,-1) and parallel to the vectors A=2i+j+k and B=i-3k.
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many udges the city needs.
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
Show the proportions that you could have used to solve for exercise #3 and #4. Let's say it takes 3000 cows to make enough footballs for one season of the NFL. If the NFL decides to make the official football a bit larger so that it now takes 3400 ..
Please response to the following: Reason each step and explain the mathematical mistake if there is one.
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
Teachers also found that strength of class is maximum satisfying all above conditions. Determine the total no. chocolates got by student A of the first class.
State the inverse, the converse, and the contrapostive of the given statements.
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^ -t/5 dollars per year.
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