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

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.

Expert Solution

Finding partial derivatives of the given surface at the point P

Substituting these values in the tangent plane equation

Finding the critical point

Option (d) is TRUE since the critical point is the saddle point.

milcah answered 2 years ago

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Question

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

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