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    Mathematics
  3. Study Set
    Calculus A Complete Course
  4. Exam
    Exam 14: Applications of Partial Derivatives
  5. Question
    Let F(x, Y, Z) = X<sup>2</sup> + 2y<sup>2</sup> + 4z<sup>2</sup>
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Let F(x, Y, Z) = X2 + 2y2 + 4z2

Question 31

Question 31

Multiple Choice

Let f(x, y, z) = x2 + 2y2 + 4z2. Find the point on the plane x + y + z = 14 at which f has its smallest value.


A) (8, 4, 2)
B) (0, 0, 14)
C) (1, 2, 11)
D) Let f(x, y, z)  = x<sup>2</sup> + 2y<sup>2</sup> + 4z<sup>2</sup>. Find the point on the plane x + y + z = 14 at which f has its smallest value. A)  (8, 4, 2)  B)  (0, 0, 14)  C)  (1, 2, 11)  D)    E)  (2, 4, 8)
E) (2, 4, 8)

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