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Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

Let u = cos xdu/dx = -sin xy = u⁴dy/du = 4u³dy/dx = dy/du * du/dx = (4u³ ) * (-sin x) = 4 cos ³ x * -sin x = -4 cos ^{3 <...}

x = -3 , x= -7

x = 1, y = 2

First Differentiate the equation to getdy/dx=6x+2Equal this to 0 to find the stationary pointdy/dx=0=6x+2 => 6x=-2=> x=-2/6=> x=-1/3
differentiate again to find the whether it is a maximum o...