# Cupid's Arrows

$\large x^2 + \left(\dfrac {5}{4}y − \sqrt{|x|} \right)^2 = 1 .$

A 1-$$T$$ magnetic field is directed towards and parallel to the positive $$z$$-axis. Determine the magnetic flux (in $$Wb$$, to the nearest tenths) of the area enclosed by the equation above.

Plot of the equation above

Details and Assumptions:

• Assume that 1 unit is equivalent to 1 meter.

• $$T$$ stands for Tesla, the unit of magnetic field strength.

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