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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
Let (e1, e2) be the standard basis for R^2. Form a new basis by selecting a postive angle theta and rotating e1 and e2 counterclockwise through the angle theta. Find the explicit form of the new bas
Brian wishes to buy an annuity that will provide annual payments of $1000 at time t = 2 with payments decreasing by 8% every year. The last payment is at time t = 30. Find the price of this annuity
State and prove a version of the crossbar theorem for asymptotic triangles.
Prepare a production cost report for the month of October. Prepare the journal entries to recognize the transfer of the units completed and transferred to Finished goods in October.
A Piston-Cylinder device haves 1.303 kg of nitrogen gas at 120 kPa and 27 C. The gas is now compressed slowly in a polytropic process during which PV^(1.27)=constant. The process ends when the volum
Find out if there is an inverse of 12 modulo 7. If there is an inverse, find it. Find out if the congruence 12x congruent to 8(mod 7) has a solution for x and if so, find a solution
Let ABC be a right triangle with right angle at C. A square S has AB as one side and lies completely outside of triangle ABC. Show that the (extended) bisector of angle C cuts the square into two pi
Make your own polynomial with degree greater than 2, Determine the zeros of the function. could someone walk me through on how to do this? I don't get what " find the zeros " means
Two teams have two different observation plans for a fast-food restaurant.
Prove the following combinatorial relation: C(2n+2, n+1) = C(2n, n+1) + 2*C(2n, n) + C(2n, n-1). The proof must show proof of equality by left hand side and right hand side.
In Las Vegas, there is simple game in which you put down $250 and are given exactly four cards from 52-card deck, one card at time. If you get the 2, 3, 4 and 5 card, in that order, you win $7,000 (
If Sally divides N by 225 and writes the final result in division algorithm as N=225*P+1003 with the quotient P and remainder 1003. however the correct quotient and remainder is written as N=225