(a) Find second Christoffel symbols F;½ and I3 of ds? = x²dx² + y?dy. %3D
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A: Write A in vector form.
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A: Concept used: The product of slopes of perpendicular lines is -1.
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A: The resultant vector is shown as .
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A: We sum the two vector component-wise and then get the resultant vector
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A: First three parts are solved.
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A: …
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A: The shaded region is shown below.
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A: Solution:-Given that
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A: Basic vectors law of addition can be used to prove the required result as shown in next step.
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