Write the LP in standard form Objective Function: Max z= X1+X2+3X3-X4+5X5 Subject To: X1+X2-2X3+X4+2X3 =-3 -X1-2X2+3X3+X4-X5 ≥4 -X1+X2-X3+2X4+X5 ≤1 X1,X2 ≥0,X3urs,X4,X5≤0

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A: First  make perfect square and then put constant

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A: solution is given below.

Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

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A: Formula:

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A: To find out the location means the points where the trolley meet the train.

Q: x* +5х + 5х + 27 х+3

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A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…

Q: f(x) =x+ – 2x³ –6x² + 22x – 15 |

A: