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The Temperature in the Xy-Plane Is a Function T(x, Y)

Question 11

Multiple Choice

The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) T(a,b) .


A) The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) (68 i + 89 j)
B) The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) (43 i - 17 j)
C) The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) (-53 i + 117 j)
D) The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) (28 i + 37 j)
E) - The temperature in the xy-plane is a function T(x, y) . At the point (a,b) the directional derivative of T in the direction of the vector 3 i + 4 j is 4 and the directional derivative in the direction of 5 i - 12 j is -2. Find T(a,b) . A) (68 i + 89 j) B) (43 i - 17 j) C) (-53 i + 117 j) D) (28 i + 37 j) E) - (172 i + 89 j) (172 i + 89 j)

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