Mathematics 1 Deneme Sınavı Sorusu #1219576

z = f(x, y) is defined implicitly by xz – yz + 3 = 0 ; Which of the following ones below is the equation of the tangent plane to the graph of z = f (x, y) around the point (1, -2, -1) ?

-x + 2 y + 3 z + 8 = 0

2 x – y + 2 z – 7 = 0

-x – 3 y + 2 z + 6 = 0

x + y – z + 5 = 0

-3 x + 3 y + z + 4 = 0

Yanıt Açıklaması:

at (1, -2, -1) : ?F / ?x = z = -1 ; ?F / ?y = -y = 2 ; ?F / ?z = x – y = 3 ; -1 (x – 1) + 2 (y - (-2)) + 3 (z - (-1)) = -(x – 1) + 2 (y + 2) + 3 (z + 1) = -x + 1 + 2 y + 4 + 3 z + 3 = -x + 2 y + 3 z + 8 = 0 . pg. 187. Correct answer is A.

PAYLAŞ:

SORUNUN CEVABI: A

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