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Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
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.
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
Determine the largest and smallest values of the marginal cost for 0
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
Let D be the linear differential operator defined on the vector space V of infinitely differentiable functions f: R-->R by D(f)=F
Using set theory to solve for the probability. A survey of a group of military personnel revealed the following information
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
Find the equation of the indicated curve - Find the equation of hyperbola from the given data
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
Find the second derivative
A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days.
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
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