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Question 1. (Easy, 7 pts.) System of Linear Equations. <br/>Solve the following system of linear equations by using Determinant Method: <br/>{¦(2x+4y=6@-x+5y=11)¦ <br/> <br/> <br/> <br/> <br/>Question 2. (Medium, 10 pts.) Matrix Algebra <br/> <br/>A = (¦(1&6@2&-1) ¦(-1@3)) B = (¦(1&3@-2&6) ¦(0@5)) C = (¦(2&1@1&4)) D = (¦(1&3@2&0)) <br/> <br/>Compute each of the following matrices: <br/> (1 pt.) A+B <br/> (1 pt.) C-D <br/> (2 pts.) CD <br/> (1 pt.) (CD)T <br/> (2.5 pts.) Verify that (CD)T = DTCT <br/> (2.5 pts.) Verify that (A+B)T = AT+BT <br/> <br/> <br/> <br/> <br/> <br/> <br/>Question 3. (Slightly hard, 13 pts.) Graphing Strategy <br/> <br/>f(x)=?-x?^3+27x <br/> <br/> (1 pt.) Find the domain of the function. <br/> (3 pts.) Find x and y intercepts. <br/> (3 pts.) Find the stationary points for f(x) and determine the intervals where f(x) is increasing and decreasing. <br/> (3 pts.) Determine the minimum and maximum value of the function. <br/> (3 pts.) Sketch the graph. <br/>
Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
A building contractor wants to fence in a rectangular plot adjacent to a straight stream by using the stream for one side of the enclosed area
Venture capital in internet-related companies in the first quarter of 1996 was $148.7 million. In the first quarter of 1997, venture capital increased to $309.1 million. Find the percent increase in venture capital for internet-related companies f..
Use the equation to predict the average global surface temperature in 2070.
pre- study scores versus post- study scores for a class of 120 college freshman english students were considerated. the
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
determine the multiple integral under given condition using spherical coordinate.let g be the three dimensional region
The following data sets shows the ages of the first seven presidents (president washington through president jackson) and the seven most recent presidents including president obama. Age is given at time of inauguration.
question a feasible solution to an lp problema need not satisfy all of the constraints only some of them.b must give
what hypothesis testing procedure would you use in the following situations?a. a test classifies applicants as accepted
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
a basektball court has a perimeter of 284 ft.the length is 42ft longer than the width.find the dimensions of the court.
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