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A sterile solution of potassium chloride haves 2 mEq/mL. If a 20 mL ampul of the solution is diluted to 1 liter, what is the percentages strength of the resulting solution?
To establish big-O relationship, determine witnesses C and k such that |f(x) | ?C | g(x)| whenever x>k. Determine the least integer n such that f(x
A furniture manufacturing company manufactures dining room tables and chairs. A table needs 8 labor-hours for assembling and 2 labor-hours for finishing.
Prove F(2n) = F(n) ( F(n+1) + F(n-1) ) where F(n) is the nth term of the Fibonacci sequence. For all n<=k, let n=k+1. Use induction to prove the left side is equal to the right side.
Assume A is a 2X2 real matrix with eigenvalue lambda=3i and corresponding eigenvector v={{-1-i},{1}}. Determine a fundamental set (i.e., linearly independent set) of solutions for y'=Ay, where the
Find the solution to the linear system of differential equations x'=-y and y'=2x-3y satisfying the initial conditions x(0)=-2 and y(0)=-3
To get a job at the government agency, a candidate needs to pass written exam, an oral exam, and an interview. Assume the probabilities of passing the written exam, the oral exam, and the interview
Psuedocode for the greedy algorithm job scheduling problem. Not sure how to go about this help is much appreciated.
The Price of Consolidated inc. is now 75. The company pays no dividends. Ms. B expects price three years from now to be $100 per share. Should Ms. B buy Consolidated stock if she requires a 10% rate
Stock A, average stock, has expected return of 10 percent. Stock B has beta of 2.0. Portfolio P is the two-stock portfolio, where part of portfolio is invested in Stock A and other part is invested
A uniform disk of radius a and mass M lies in the x-y plane. Express the density in terms of delta and step functions in (a) spherical coordinates (b) cylindrical coordinates. (c) Cartesian coordina
The reduction of labor costs by incurring greater amount of fixed costs by purchase of machinery in order to raise the organization's operating leverage is unethical and must be avoided.
Let C = {1, 2, 3, 4, 6, 8, 12, 24} and describe t on C by a t b if and only if a and b share common divisor greater than 1 Draw a diagraph for t.
If {an} is the sequence stated by = n2 + n for all positive integers n, which one of the following is a recursive definition for the sequence?
A ship is streaming northward at the rate 10 km hr ^-1.The surface pressure raises toward the northwest at the rate of 5 pa km^-1. Determine the pressure tendency recorded at a nearby island statio
Write down a matlab function named oddit that will recieve an array of numbers. The function will then return an aray of the odd numbers from the input array.
Consider applying newton,s method to find the root alpha = 0 of the equation sin(x)=0 . Find the maximal interval(-r,r) for which the Newton method iterates will converge to alpha for any choice of
Select all of the expressions for an that define a sequence on the positive integers whose first three terms are 4,5,7.
It turns out that every nonnegative integer can be written as a sum of four perfect squares. In contrast, show that if n is congruent to 7 (mod 8), then n cannot be written as a sum of three perfect
Using the Chinese remainder theorem, how many (incongruent) solutions does x^2 = -1
Using the fact that dy/dx = (dy/dt) / (dx/dt), rewrite competitive species system as a first order equation in x and y. Solve this equation. Note that this tells you how x and y are related, but doe
There exists the example of three distinct positive integers dififferent from a, 2a, 3a for some a belongs to N having the property that each divides the sum of other two.
Write a function named oddity which will recieve an array of numbers. The function will then return an array of the odd numbers from the input array.
Deposits of $625 are made quarterly in an investment. The first deposit is made on February 15, 2015 and the last deposit is made on August 15, 2025. Determine the nominal rate converted quarterly t
Determine the coefficient of x^23 in (x+ x^2+ x^3+. . . x^9)^5. Determine the coefficient of x^23 in (x+ x^2+ x^3+. . . x^9)^7