$$\text { Find equations of the normal plane to } x = t , y = t ^ { 2 } , z = t ^ { 3 } \text { at the point } ( 2,4,8 ) \text {. }$$

question 23

Short Answer

$$\text { Find equations of the normal plane to } x = t , y = t ^ { 2 } , z = t ^ { 3 } \text { at the point } ( 2,4,8 ) \text {. }$$

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Definitions:

Sherman Antitrust Act

A landmark federal statute in the United States passed in 1890 that prohibits monopolistic business practices and promotes competition.

Per Se Violation

In antitrust law, a restraint of trade practice so serious that it is prohibited whether or not it actually harms anyone.

Wickard V. Filburn

A landmark Supreme Court decision in 1942 that broadly interpreted the federal government's authority under the Commerce Clause, impacting agricultural production and regulation.

Interstate Commerce

Economic activities or transactions that cross state lines, regulated by federal laws to ensure fair and consistent standards.