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Q1. If x = acosh a cos , y = asinh sin Prove that (x,y) a(,) 2 a2 == (cosh 2a cos 2). Q2.

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Q1. If x = acosh a cos , y = asinh sin Prove that (x,y) a(,) 2 a2 == (cosh 2a cos 2). Q2. If x = r cos 0, y = r sine Prove that (x,y) a(r.0) = r. And a(r.0) = 1 a(x,y) r Q3. If x + y + z = u, y + z = uv, z = wuv, Then a(u,v) (u,v) a(r.s) = (x,y) a (r.s) Q4. Prove that a Q5. Prove that X a a + + ax2 y2 az a(x,y) a(x,y,z) = uv. a(u,v,w) u = = 0. If u = (x + y + z)

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