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Match the parametric equations with the graphs (labeled I-VI). Give reasons for your choices.

$ x = t \cos t $ , $ y = t $ , $ z = t \sin t $ , $ t \ge 0 $

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II

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

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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Match the parametric equat…

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the problem is much of the parametric equations. Ways well, offs your reasons for your choices. You're actually able to tee times society wise because teen, see if he could He'd hands scientist on peace. Gretel and zero. So we're half square us wise. Last three square. It's the continent e squared. So this is why square this question is a corn. So it means that how's the points on this curve? Uh um a chord. I squired past a square in court. Why score now? The fool cat, the grafts. So only number to satisfy this condition. So we have. The graph is number two.

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