6. Identify and sketch the following quadric surfaces: (a) z=8-x² - y²; (b) x = z² - y²; (c) y²4z²x² = 4.

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A: Solution is below ?

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A: To find x-intercepts, substitute y=0 and To find y-intercepts, substitute x= 0.

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A: The cylinder and the planes  and .To find: .

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Q: 4) Solvex(1+y²)¹/² dx = y(1+x²) ¹/¹² dy.

A: we use variable separable method to solve this differential equation.

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Q: 8. Keep the notation from Podasip 7. If p is an odd prime and a ‡ 0(mod p), then... p-1 (a)…a²¹ =…

A: note :As per the instructions we will only solve part (8) [a & b] of the question.

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A: Answer given below with full explanation.

Q: 1₂ = I₁ + 13 Loop A= 4.2 I, + 51₂₂ - 9 = 0 b = (§I+ 'I)S + 'I z'b 4.2 I₁ + 5 1₁ +51₂=9 9.2 I₁ + 51₂…

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A:

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A: Given:To Find: .

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Q: 7. Does the infinite sequence √3, √2√3+5, √√2√2√3+5+5, ….. which continues with the indicated…

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