Determine the slope of the tangent line to the function with the given information: (a) f(x, y) = sin(xy) in direction 2î + ĵ at the point (1, 7) 1+x (b) f(x, y) moving directly away from the origin, at the point (4,1). = (c) f(r, y) = 2x + 7y – 1 in the direction 30° counter-clockwise from the negative y-axis, at the point (2,2).

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A: According to our guidelines, we can answer only one question, other questions can be reposted.

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A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

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A: Note: As per the guidelines we are supposed to answer only one question because this is not a…

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A: let us first ind the equation of tangent  line

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