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Let A be a 3×3 matrix with det(A)=2. Suppose that B is obtained from A by performing the following sequence of elementary row operations R1↔R3, R2←-13R2, R3←R3+2R1. What is det(B)?
From the first and second e-Activities, assume that you are the manager of the project that will set up a new headquarters office for the Federal Bureau of Investigations in the Washington, DC area.
A matching M in a graph is of maximum size if and only if M has no augmenting path. Further, if a matching M has an augmenting path P with edge set E(P), then we can create a larger matching by deleting the edges in M ∩ E(P) from M and adding in t..
Write a definite integral for the volume of the bounded region formed by rotating the graph of y = (x-1)2(x+2) around the x-axis.
A shoe salesperson is paid the greater of $600 per week or 11% of sales. At what volume of sales per week will he start to earn more from the commission based compensation?
Find a recurrence relation and associated generating function for the number of n-digit ternary sequences that have the pattern "012".
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
Fundraising. The St. Mark's community Barbecue served 250 dinners. A child's plate cost $3.50 and an adult's plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served?
You are given the graph of a function f defined on the indicated interval. Find the absolute maximum and the absolute minimum of f, if they exist.
One student in the lab got only 33.87% yield. Name two things that he could do to improve the % yield without sacrificing purity? Don't include better transfer.
How fast is the distance between the cars increasing two hours later?
What are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4?
Do you think that companies can really use artificial intelligence to make a good business decision? Why or why not? Are there ethical concerns here?
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