Vectors

Vector Calculus

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##### Lily A.

Johns Hopkins University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

All right. Over 37. Given the following vector field, Find the line in a girl for our of t equals T square comma three t square immediately. Let's just calculate our priority. Okay? Line And the girls you're from or to of EFTA uh, our primary t do you t And for our X and why we're gonna plug in t Square three t squared. And we have our tea. So everything we need to solve the sign in a girl plugging in everything we get integral from one of two of t squared three t square over tend to three or two. There are six dot That was to t comma 60 and a girl from one to over. Turn Kurt of 10 t 26 to Cuba's 16 que Now this simplifies to in a girl from one to, uh, t negative three d t We evaluate this or get too scared of turn t to negative two over negative too. If I waited from wanted to playing in our numbers, it's cancel. Get 1/4 minus one, which is a good a 3/4 square to 10

Sacramento City College

#### Topics

Vectors

Vector Calculus

##### Lily A.

Johns Hopkins University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp