💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

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

$ x = \cos 8t $ , $ y = \sin 8t $ , $ z = e^{0.8t} $ , $ t \ge 0 $

4

01:03

Wen Z.

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

02:56

In mathematics, a vector (…

06:36

01:13

Match the parametric equat…

01:14

01:09

01:29

01:06

0:00

00:31

Graphs of Parametric Equat…

04:54

02:35

01:10

Match the graphs of the pa…

So for this problem 25 what we're being asked to do is to match Parametric equations with their appropriate graph. So the parametric equation we're given is that x of t equals co sign eight t and y of t equals sign 18. So essentially, what we have on our curves that lie on the cylinder of X squared post y squared equals one. Um, so basically what we have is a circle. However, we see that since Z equals E to the 0 80. Since this right here is exponential, it's going to increase exponentially. So what that means is, what we're going to have is almost like a spiral graph, whereas the X and Y is cause it to go in a circle. But the Z is actually going to cause it to move in the Z direction, since it's constantly increasing. So that is best represented by graph four. So graph four is going to be the best representation and the one that we can choose for these set this set of parametric equations

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

In mathematics, a vector (from the Latin "mover") is a geometric o…

Match the parametric equations with the graphs (labeled I-VI). Give reasons …

Match the parametric equations with the graphs labeled I-VI. Give reasons fo…

Graphs of Parametric Equations Match the parametric equations with the graph…

Match the parametric equations with the graphs labeledI-VI. Give reasons…

Match the graphs of the parametric equations $ x = f(t) $ and $ y = g(t) $ i…