/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 35 In Problems 35鈥�38, find parame... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 35 (page 695)

In Problems 35鈥�38, find parametric equations that define the curve shown.

Short Answer

Expert verified

The parametric equation isx=t+2,y=t,0鈮�t鈮�5

Step by step solution

01

Step 1. Given Information

We are given a curve

02

Step 2. Finding Slope

The coordinates of the graph are x1,y1=2,0and x2,y2=7,5

Then, slope ism=5-07-2=1

03

Step 3. Finding linear equation

By using

y=mx+by=1x+-2y=x-2

This is the rectangular equation that represents the given graph.

04

Step 4. Finding Parametric Equations

Let us consider y=t,0鈮�t鈮�5

From y=x-2we get t=x-2

orx=t+2

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Rutherford鈥檚 Experiment In May 1911, Ernest Rutherford published a paper in Philosophical Magazine. In this article, he described the motion of alpha particles as they are shot at a piece of gold foil 0.00004 cm thick. Before conducting this experiment, Rutherford expected that the alpha particles would shoot through the foil just as a bullet would shoot through snow. Instead, a small fraction of the alpha particles bounced off the foil. This led to the conclusion that the nucleus of an atom is dense, while the remainder of the atom is sparse. Only the density of the nucleus could cause the alpha particles to deviate from their path. The figure shows a diagram from Rutherford鈥檚 paper that indicates that the deflected alpha particles follow the path of one branch of a hyperbola.

(a) Find an equation of the asymptotes under this scenario.

(b) If the vertex of the path of the alpha particles is 10cm from the center of the hyperbola, find a model that describes the path of the particle.

In Problems 15鈥�18, the graph of a hyperbola is given. Match each graph to its equation.

Equations:

Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1

Graph:

The point that is symmetric with respect to the x-axis to the point (-2, 5) is ________.

True or False

To eliminate the xy-term from the equation x2-2xy+y2-2x+3y+5=0, rotate the axes through an angle 胃, where cot胃=B2-4AC.

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Focus at 4,0and vertex at0,0.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.