Two point charges (q1 = -2.5μC and q2 = 8.6 μC) are fixed along the x-axis, separated by a distance d = 9.7 cm. Point P is located at (x, y) = (d, d). a. What is Ex(P), the value of the x-component of the electric field produced by q1 and q2 at point P?

b. What is Ey(P), the value of the y-component of the electric field produced by q1 and q2 at point P?

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explanation:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

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