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Suppose A is a 4 X 4 matrix and b is a vector in R4 with the property that Ax = b has a unique solution. Explain why the columns of A must span R4.
The price paid by Brady Investment Corp resulted in Brady having a 7% annual yield on their sixteen-year investment. Find the price that Brady Investment Corp paid Stewart Financial Enterprises.
Solve the two first order ODEs below for three time steps using h = 0.2 and RK 2. x'1=x2; x1(0)=.5 x2'=-x1-2x2 + e^-t ; x2(0)=0
Suppose instead that the town experiences growth that can be modeled by the following: where t is the number of years from 2010.
It is known that 20 tickets were sold in advance and 15 the same day, for total receipts of $900 . What was the price of each kind of ticket?
A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 600 square meters, what is the width of the path?
Considering window size w=2, design a Markov chain and evaluate how much improvement can be achieved. What is the tradeoff of the scheme in order to gain a better throughput?
The surface area of this pyramid is 189cm squared.The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Find the marginal pmfs of X and Y, explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
A box contains 7 white balls and 3 red balls. Three balls are drawn at random. Inn how many ways can the three balls be drawn
Evaluate the integral ∫01 ∫0√1-x2 ∫√x2+y2√2-x2-y2 xy dz dy dx by changing to spherical coordinates. Evaluate the integral ∫∫∫E(x2 + y2) dV where E is the part of the sphere x2 + y2+z2 = 1 above the xy-plane.
A machine to mill a brass plate has a setup cost of $600 and a unit cost of $3 for each plate manufactured. A bigger machine has a setup cost of $800 but a unit cost of only $2 for each plate manufactured. Find the break point.
A ladder leans against a vertical wall.When the foot of the ladder slides 5cm to the left, how far does the top of the ledder move vertically ?
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