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Determine the relation satisfied by the real numbers a,b and c if (a,b,c) is a linear combination of
Some passengers on an ocean cruise might suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude
The position of a 51g oscillating mass is given by x(t)=(1.6cm)cos12t, where t is in seconds. Determine the amplitude.
Supposing that it was enciphered with the generalized Caesar cipher with multiplier r=3 and shift constant s=2, decipher the message C=5.(A thru Z uses numbers 0 thru 25 in sequential order eg;o=A,
If selling price is $48.50 per unit, determine the cash break-even point? If depreciation is $620,000 per year, what is the accounting break-even point?
Assume that 10 member committee is to vote on amendment. How many different manners can the vote be cast so that the amendment passes by a simple majority?
A golfer desires to add 112 golf balls to the bag. He wants the ratio of white striped golf balls to remain the same. How many of each should he a
A scale model of a statue is 7 inches tall. The scale of the model is 1in/1.5ft. What is the actual height of the statue?
A body of constant mass m is thrown vertically upward with initial velocity. If the body faces an air-resistance that is propotional to its velocity, calculate
Prove that the number of partitions of n in which no part appears exactly once is equal to the number of partitions of n with no parts congruent to 1 or 5 (mod 6).
The interest rate of a credit card company is 0.5% per month. Richard makes a purchase of $1000 and makes his payment after 14 months. What is the total amount due.
A lolly manufacturer makes red, green, yellow and orange coloured jubes. He has made 245700 red jubes, 132300 green jubes, 114660 yellow jubes and 207900 orange jubes. The manufacturer desires to d
Use the dual simplex method to show that this problem is infeasible.
Use the Laplace transform to solve the given IVP.
If we know nothing regarding the elements of a set A, can we still say something special about the sets A union {} and A intersection {}?
A person, holding gun six feet off the ground, fires the gun straight in the air. The bullet leaves the gun at a speed of 1200 feet/sec. What was the maximum height of the bullet? How long after th
An egg us dropped from the top of a fictutious tower, which stands 1,111 feet tall. Determine when the egg will hit the ground and splatter.
Is there any graph G such that G has an Euler Circuit (not path) but no Hamiltonian Circuit?
Give the final project of Dirichlet's and Abel's with the complete written solution (target length: five pages). Discuss test, theorem and give a specific proof. Also show an example of each test.
Find out the exponential generating series for the number of ways to put (distinct) people into n rooms where each room has at least three people. Now determine the actual answer for 1,2,3,...,8,9,
Determine a property that two arbitrary sets A and B could satisfy that would guarantee that A union B = A.
Determine the no-arbitrage price of the option, by using replicating portfolios, if the annual effective risk-free effective interest rate is 4%.
Can someone discuss Argand Diagrams and how they are so useful, possibly their history? Please don't just copy a wikipedia article.
A pilot sees an object 110 miles away upon the horizon. Supposing that the earth has radius of 4.00 x 10^3 mi, how high up is the pilot in feet?
If a mortgage pool consists of five 10% FRMs totaling $500,000, five 9% FRMs totaling $450,000 and ten 8% FRMs totaling $750,000, such that the total value of the pool is $1.7M, what is the weighted