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Mathematics For Management Sciences I (MTH105_261)

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Given the logical proposition: p:"The car is blue."

What is the negation of the statement "The car is not blue."?

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Find the limit as x approaches infinity: limx2+3x

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Evaluate the truth value of the following logical expression: (pq)¬p

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Evaluate the following indefinite integral:

(2x+3) dx

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Solve the simultaneous equations:

x+2y=73x-y=4

 

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Find the solution to the system of equations: 4x+3y=10, 2x-y=3

 

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Let a=1-3 and b=52 be two vectors in 2D space. Determine the magnitude of vector a+b.

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Solve the linear programming problem: Maximize Z=4x+5y subject to the constraints: 2x+y10, x+3y15 x,y0 What are the values of x and y at the optimal solution?

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Find the derivative of the function f(x)=3x2+2x-5 with respect to x.

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Consider the complex number z=-1+3i. What is the polar form of z?

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