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To find the potential at a point (4, 3, -6) for the function (V = 2x^2y + 5z), we substitute (x = 4), (y = 3), and (z = -6) into the function:
[V = 2(4)^2(3) + 5(-6)]
First, calculate the square of 4:
[4^2 = 16]
Then multiply the result by 2 and 3:
[2 times 16 times 3 = 96]
Lastly, multiply 5 by -6 and add it to the previous result:
[5 times (-6) = -30]
Adding the two parts together gives:
[96 – 30 = 66]
Therefore, the potential at the point (4, 3, -6) is 66.
Answer: b
Explanation: The electric potential for the function V = 2x2y + 5z at the point (4, 3, -6) is given by V = 2(4)2(3) + 5(-6) = 96-30 = 66 units.