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Gram-Schmidt Orrthonormalization.Prove the parallelogram law
Solve 2^3x=3^4x-2 Round your answer to 3 decimal places. Solve 6^4x+5=3^7x-1 Round your answer 3 decimal places.
List the details of all rooms at the Grosvenor Hotel, including the name of the guest staying in the room, if the room is occupied.
There is a law stating that the ratio of the width to length for the American flag should be 10 to 19. Is a flag measuring 30 feet by 57 feet the correct ratio?
Numerical Linear Algebra : Complex nxn Matrix.Find a real n × n matrix A ? 0 such that {Ax, x}>0 for all x ? Rn.
Calculate the degree three interpolating polynomial based on x_0, x_1, x_2, x_3 and (b) calculate the degree four interpolating polynomial based on x_0, x_1.
Extracting metals from ore: Thomas Sherwood studied the relationship between the concentration of a metal in commercial ore and the price of the metal.
After leaving moose jaw, Hanson drove 200 kilometers at x km/hr and then decreased his speed by 20 km/hr and drove 240 additional kilometers.
Ronnie invested P dollars in a 2-year CD with an annual rate of return of r. After the CD rolled over two times, its value was P((1+r)2)3.
The first step is to make the radicand a perfect cube (so that exponent equals index) so as to eliminate the radical from the denominator.
The height was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container.
Solving a System of Four Equations.Solve this system of equations. Put your answer in alphabetical order.
He thinks that for each $25 increase in the rent, he will loose two tenants. He would be happy with revenue of $20,400 per month.
Systems of Three Equations with 3 Variables ( 3 Equations and 3 Unknowns )
A taste test with 200 randomly selected people found that only three of them said that they would buy a box of new Sweet Wheats cereal.
Basis and basis matrices.Let B1 = {v1,v2,v3} be a basis of vector space V and B2 = {w1,w2,w3} where w1=v2+v3; w2=v1+v3; w3= v1+v2
Sally received a bill for a total of 8 hours labor on the repair of her bulldozer. She paid $50 to the master mechanic and $90 to his apprentice.
Non-linear Differential Equation Word Problem.Two chemicals A and B are combined to form a chemical C. T
If (xo,yo) is a solution of the Linear Diophantine equation ax + by = c , then the set of solutions of the equation consists of all integer pairs (x,y).
If you walk 3 miles in one hour and then 4 miles in two hours, what is your average speed for the entire trip? (in mph)
Linear Algebra : Dual Space and Dual Basis.
Show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17.
Thus we can define the trace of a linear operator on a finite-dimensional space to be the trace of any matrix
For finite sets, proof is trivial since |A| = n and |P(A)| = 2^n. For finite sets, this is done by contradiction.
Systems of Equations and Inequalities Applications Word Problems