mathematics plz need help sir steve

Given
Given

f1(x,y)=x^4y^3
f2(x,y)=5x^7+sin(3y)

find the determinant
step plz full step

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  1. Do you mean the Jacobian?

    F1x = 4x^3y^3
    F1y = 3x^4y^2
    F2x = 35x^6
    F2y = 3cos(3y)

    So, the determinant of J(f1,f2,x,y) is

    (4x^3y^3)(3cos(3y))-(35x^6)(3x^4y^2)
    = 12x^3y^3 cos(3y) - 105x^10y^2

    See

    http://www.wolframalpha.com/input/?i=jacobian+of+(x%5E4y%5E3,+5x%5E7%2Bsin(3y))

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