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Mathematics II. (GT_AGMNE013, GT_AKMNE014-17) 2024/2025_2

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Solve the system of equations below. For the answer provide only the value of  x1 !

table row cell 3 x subscript 1 end cell plus cell 2 x subscript 2 end cell plus cell 3 x subscript 3 end cell cell equals 11 end cell end table
table row cell 2 x subscript 1 end cell cell space space space space space space space space space space space end cell blank plus cell x subscript 3 end cell cell equals 13 end cell end table
table row cell negative 2 x subscript 1 end cell plus cell 2 x subscript 2 end cell minus cell 2 x subscript 3 end cell cell equals 2 end cell end table

 

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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.

How many different 4-letter radio station call letters can be made if repeats are allowed and the first letter must be K.
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Solve the system of equations.

x1 - x2 + x3 = 8

x1 + x2 + x3 = 6

x1 + x2 - x3 = -12
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Compute the determinant of the matrix by cofactor expansion.

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Solve the problem.

Find the future value at 8% interest compounded continuously for five years for the continuous income stream with rate of flow (Round answer to the nearest dollar.)
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Evaluate using integration by parts.

dx
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Find the matrix product, if possible.

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Evaluate using integration by parts.

dx
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What is the consumers' surplus for the demand curve p = 5 - at the sales level ?
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