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

$ r(t) = \langle t^2 - 1 , t \rangle $

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Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Johns Hopkins University

Missouri State University

Campbell University

University of Nottingham

Lectures

03:04

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x. The input of a function is called the argument and the output is called the value. The set of all permitted inputs is called the domain of the function. Similarly, the set of all permissible outputs is called the codomain. The most common symbols used to represent functions in mathematics are f and g. The set of all possible values of a function is called the image of the function, while the set of all functions from a set "A" to a set "B" is called the set of "B"-valued functions or the function space "B"["A"].

08:32

In mathematics, vector calculus is an important part of differential geometry, together with differential topology and differential geometry. It is also a tool used in many parts of physics. It is a collection of techniques to describe and study the properties of vector fields. It is a broad and deep subject that involves many different mathematical techniques.

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Sketch the curve with the …

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the problem is sketch the curve with, like even factor. The equation indicated with a narrow the direction in which to resist. Your art is equal to X squared, minus one on DH. So we have X is equal to the squire minus line. Why is he so we have, actually, don't you y squared minus one? Now let's sketch. The graph of this function is in next to one. It's Kraft is like thiss no on DH things. Why is he t such a direction in wage increases? Yes, this direction.

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