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Step 1:Replace any obvious in the integral with the substitution u=x+2 ∫_(-1)^1 3/√u dx

Step 2: Differentiate the substitution u=x+2 to find an expression for dx (to differentiate multiply by the p...

First, simplify √18 by writing it as √(9x2) = √9 x √2 = 3√2.
Then, rationalise the denominator by multiplying both top and bottom of the fraction by √2.
This gives √2 x √2 = 2 in the denominator...

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)

Equations: 1). y=x^2+4x-2 2.)y=x+2 x+2=x^2+4x-2 First put equation 1 in equation 2 0=x^2+3x-4 Make one side of the equation equal to 0 0=(x+4)(x-1) Factorise the equations Equations 3).x+4=0 4). x-1=0 One...

x = 2 y = 3