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1. Let d; a; b; r, and q be integers.
a) Suppose that d|a and d|b. Show that d|(ra + qb).
b) Suppose a = qb + r. Show that the set of common divisors of a and b is the set of common divisors of b and r.
How do you know if a quadratic equation will have one, two, or no solution? What is the role played by the discriminant? How do you find a quadratic equation
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Use an example to describe how a rate is a measure of one quantity per unit of another quantity.
Solve the following linear system using Gaussian elimination.
Solve the system of linear equations, using the Gauss-Jordan elimination method. Management Decisions. The Management of Hartman Rent-A-Car has allocated $1,008,000 to purchase 60 new automobiles to add to their existing fleet of rental cars.
Can we use the quadratic equation to solve all equations? When should we apply its method? Why would we apply the quadratic in one area and factoring in another?
To play this lottery game, I chose the numbers 1, 2, 3, 4, 5, and 6. What do you think about that choice? How unlikely do you think those numbers are to win?
Comparing the 2 solution can you determine whether the fist system of equations is ill-conditioned or not?? Explain why it is ill-conditioned??
Let (N,
Suppose that a function f reals to the reals is a uniform limit of a sequence of polynomials on the reals. Show that f is a polynomial.
Write a polynomial of least degree with real coefficients
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