Final answer:
When x = 4 and y = 3, the numerical value of the expression dx² - y² / 2Py is 55 / 2P(3). Without knowing the value of P, we cannot determine the exact numerical value from the given options.
Step-by-step explanation:
To find the numerical value when x = 4 and y = 3, we can substitute these values into the given equation. The equation is dx² - y² / 2Py. Plugging in x = 4 and y = 3, the equation becomes 4(4)² - (3)² / 2P(3). Solving this equation step by step, we get (4)(16) - 9 / 2P(3). Simplifying further, we have 64 - 9 / 2P(3), which is equal to 55 / 2P(3).
Therefore, when x = 4 and y = 3, the numerical value of the expression dx² - y² / 2Py is 55 / 2P(3). To determine the exact numerical value, we need the value of P. Without additional information, we cannot determine the answer with the options provided (a, b, c, d).