A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 14 cm formed from wire of diameter 2.2 mm and resistivity of 1.48 × 10-8Ω·m. At what rate must the magnitude of the magnetic field change to induce a 12 A current in the loop?

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 .

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures

490 n

f=125n a=2.5m/s2