Find the Equation of the Normal Line to the Given $2 x ^ { 2 } + 8 y ^ { 2 } + 3 z ^ { 2 } = 235 , ( 4,4,5 )$

question 82

Multiple Choice

Find the equation of the normal line to the given surface at the specified point. $2 x ^ { 2 } + 8 y ^ { 2 } + 3 z ^ { 2 } = 235 , ( 4,4,5 )$

• A) \(2 x + 8 y + 3 z = 1\)
• B) \(16 x + 64 y + 30 z = 235\)
• C) \(\frac { x - 4 } { 55 } = \frac { y - 4 } { 55 } = \frac { z - 5 } { 55 }\)
• D) \(\frac { x - 4 } { 16 } = \frac { y - 4 } { 64 } = \frac { z - 5 } { 30 }\)
• E) \(\frac { x + 4 } { 16 } = \frac { y + 4 } { 64 } = \frac { z + 5 } { 30 }\)

Identify the effects of tariffs, quotas, and subsidies on international trade.

Explain the concepts of comparative and absolute advantage in trade.

Analyze the impact of trade deficits and surpluses on a country's economy.

Understand the role of opportunity costs in determining trade relationships.

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