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)

Question

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)

Quizplus · Accepted Answer

The Answer of 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)

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