Solve the problem using matrices.In a study of heat transfer in a grid of wires, the temperature at an exterior node is maintained at a constant value (in °F) as shown in the figure. When the grid is in thermal equilibrium, the temperature at an interior node is the average of the temperatures at the four adjacent nodes. For instance 
Find the temperatures T1, T2, and T3 when the grid is in thermal equilibrium. 
132°180°
A. T1 = 
°F, T2 = 
°F, T3 = 
°F
B. T1 = 97°F, T2 = 88°F, T3 = 
°F
C. T1 = 
°F, T2 = 
°F, T3 = 
°F
D. T1 = 194°F, T2 = 88°F, T3 = 
°F
Answer: C
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Find the gradient field F of the function f.f(x, y, z) = ex4 + y8 + z9
A. F = x4ex4 + y8 + z9i + y8ex4 + y8 + z9j + z9ex4 + y8 + z9k B. F = x3ex4 + y8 + z9i + y7ex4 + y8 + z9j + z8ex4 + y8 + z9k C. F = 4x3ex4i + 8y7ey8j + 9z8e z9k D. F = 4x3ex4 + y8 + z9i + 8y7ex4 + y8 + z9j + 9z8ex4 + y8 + z9k
Evaluate the expression using the provided information.Find sin (? - ?) given that sin ? = 0.8491 and cos ? = 0.1297 and that ? and ? are between 0 and 
. Round to the nearest ten-thousandth when necessary.
A. 0.9105 B. 0.6339 C. 0.7735 D. -0.4136
Write as a percent.0.00694
A. 0.347% B. 0.694% C. 0.000694% D. 0.0694%
Evaluate the exponential form.-80
A. 1 B. 0 C. -1 D. -8