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Question

Mathematics Question on Vector Algebra

The work done by the force F=(x2y2)i^+(x+y)j^\overrightarrow F = (x^2-y^2)\hat{i} + (x+y)\hat{j} in moving a particle along the closed path C containing the curves x + y = 0, x2+ y2 = 16 and y = x in the first and fourth quadrant is

A

523\frac{52}{3}units

B

52π+94units

C

52π-96units

D

96π-52units

Answer

52π-96units

Explanation

Solution

The correct answer is(C): 52π-96units