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Mathematics II. (GT_AGMNE013, GT_AKMNE014-17) 2024/2025_2
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Find the area under the graph of the function over the interval given.y = 
; [1, 3]
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Compute the following matrix operations: (A +2BT)C, then if it exists calculate the determinant of the resulting matrix .
A=; B= és C=
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Use the Gauss-Jordan method to solve the system of equations. x + 3y + 2z = 11 4y + 9z = -12x + 7y + 11z = -11
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Find the inverse, if it exists, for the matrix.
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Use the multiplication principle to solve the problem.A shirt company has 3 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How many different types of shirts are available from this company?
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Solve the problem.Two fair six-sided dice are rolled. Let E = the event that the sum is a prime number, F = the event that the sum is 8 or more, and G = the event that at least one die shows a 4. For these three events, which pairs of events are independent and which pairs are dependent?
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Solve the system of equations below. For the answer provide only the value of x1 !
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Solve the problem.Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3000 tickets are sold at $1.00 each, find the expected payback for a person who buys 1 ticket.
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Provide an appropriate response.The value of the product 
∙ 
is
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Find the area of the region bounded by the curve y = 
-1, the y-axis, and the line y = 1.
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