PART - A 1. If F = (x - y + 2xz)i+ (xz- xy+ yz)j +...

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PART - A 1. If F = (x² - y² + 2xz)i+ (xz- xy+ yz)j + (z² + x²)k, find grud (div F). 2. Prove that V(logr)=where r=171 3. Find Vr = nr¹². Where r = √√x² + y² + 2². 4. Find v. 18.(²x) 5. Find the unit normal to the surface xyz=2 at (2,1,1). PART - A 1. If F = (x² - y² + 2xz)i+ (xz- xy+ yz)j + (z² + x²)k, find grud (div F). 2. Prove that V(logr)=where r=171 3. Find Vr = nr¹². Where r = √√x² + y² + 2². 4. Find v. 18.(²x) 5. Find the unit normal to the surface xyz=2 at (2,1,1).