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1a.Find the equation of the tangent plane to the surface √ x + √y + √...

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Basic Math

1a.Find the equation of the tangent plane to the surface √ x +√y + √ z = 4 at P(1, 1, 4).

1b.Let f be a function of x and y such that fx = 3x − 5y and fy= 2y − 5x, which of the following is always TRUE?

a. (0, 0) is not a critical point of f.

b. f has a local minimum at (0, 0)

c. f has a local maximum at (0, 0)

d. (0, 0, f(0, 0)) is a saddle point of z = f(x, y).

e. None of these.

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Finding partial derivatives of the given    See Answer
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