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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which $ t $ increases.

$ r(t) = t^2 i + t^4 j + t^6 k $

The direction is towards the origin when $t<0,$ away from the origin when $t>0 .$

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Harvey Mudd College

Baylor University

University of Nottingham

Idaho State University

Lectures

02:56

In mathematics, a vector (…

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Sketch the curve with the …

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$5-12=$ Sketch the curve w…

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the problem. These sketches a curve with give a lecture equation indicated with heralds the direction in which to increases your heart. He is a twenty square pasa homes I plus city for a steel and plastic to six. Okay, Behalf acts is a country squire. Why is he going to do teach force and cnc country? It is the power of six Now we have Why is he going to export now Let's catch the curve. Says why is he goto x square? So we know the projection of the curve on the X Y plane is why go to explain? So can job. Why, his secret was I could square It's like this and then that won t is equal to zero We have two point zero zero zero tz four to one. So we have this point. She could too half this point this former team three transit point. Now we can just a graph this like this on offense Axe is hard to describe. Why single pretty to force the direction in which team increases is this direction

In mathematics, a vector (from the Latin word "vehere" meaning &qu…

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Sketch the curve with the given vector equation. Indicate with an arrow the …

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