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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/>
A manufacturer has a monthly fixed cost of $70,000.00 and a production cost of $17 for each unit produced. The product sells for $25 per unit. Find the break-even point.
Write the contrapositive of the following statement:
what is the probability a sample mean is less than 30 if the sample size is 25 and the population mean is 24 and the population standard deviation is 3?
Find the equation for the plane tangent to the paraboloid z = 2x2 + 3y2 that is also parallel to the plane 4x - 3y - z = 10
Billy likes to go cycling, his bike has wheels of diameter 85cm he has invented a counter for his bike which counts the number of revolutions the wheels make.
identification ofnbspthe slope y-intercept and x-intercept of the given equation.identify the slope y-intercept and
a vector with initial point -26 and terminal point -43 is translated so that its initial point is at the origin. find
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location?
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
given the following information would your decision be to reject or fail to reject the null hypothesis? setting the
A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Roadrunners charges $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental a better deal ..
A fabric wall hanging is to fill a space that measures 12 ft by 10 ft. Allowing for 3 in. of the fabric to be folded back along each edge, how much fabric must be purchased for the wall hanging? Round to the nearest whole number.
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