Define the variables x and y as x 65 and y 38 then evaluat

Define the variables x and y as x = 6.5 and y = 3.8, then evaluate: (a) (x^2 + y^2)^2/3 + xy/y - x (b) squareroot x + y/(x - y)^2 + 2x^2 - xy^2

Solution

(a)x =6.5, y=3.8

(x²+y²)^2/3 +(xy_/(y-x))

=(6.5²+3.8²)^2/3 +(6.5*3.8_/(3.8-6.5))

=(42.25+14.44)^2/3 -(24.7_/2.7)

=(56.69)^2/3 -(247_/27)

5.60906

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(b)

[(x+y)_/(x-y)²]+2x²-xy²

=[(6.5+3.8)_/(6.5-3.8)²]+(2*6.5²)-(6.5*3.8²)

=[(10.3)_/7.29]+84.5-93.86

-8.91976