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Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759

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Chapter
Section
BuyFindarrow_forward

Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759
Chapter 8.4, Problem 33E
Textbook Problem
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Parametric Equations for Curves Find parametric equations for the curve with the given properties.

33. The line passing through (6, 7) and (7, 8)

To determine

To find: The parametric equation of the curve which passes through the points (6,7) and (7,8) .

Explanation of Solution

Given:

The passing points of the curve are (6,7) and (7,8) .

Calculation:

The line passes through the point (6,7) and the slope of the line is 1.

With the increase of 1 unit in x coordinate correspondingly increase 1 unit in the y coordinate.

The required parametric equation is,

x=6+t and y=7+t

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Chapter 8 Solutions

Precalculus: Mathematics for Calculus (Standalone Book)
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Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Different Polar Coordinates for the Same Point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Points in Polar Coordinates Determine which point...Ch. 8.1 - Rectangular Coordinates to Polar Coordinates A...Ch. 8.1 - Rectangular Coordinates to Polar Coordinates A...Ch. 8.1 - Polar Coordinates to Rectangular Coordinates A...Ch. 8.1 - 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Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - Polar Equations to Rectangular Equations Convert...Ch. 8.1 - DISCUSS PROVE: The Distance Formula in Polar...Ch. 8.1 - DISCUSS: Different Coordinate Systems As was noted...Ch. 8.2 - To plot points in polar coordinates, we use a grid...Ch. 8.2 - (a) To graph a polar equation r = f(), we plot all...Ch. 8.2 - Graphs of Polar Equations Match the polar equation...Ch. 8.2 - Graphs of Polar Equations Match the polar equation...Ch. 8.2 - Graphs of Polar Equations Match the polar equation...Ch. 8.2 - Graphs of Polar Equations Match the polar equation...Ch. 8.2 - 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(a)...Ch. 8 - Complex Numbers A complex number is given. (a)...Ch. 8 - Complex Numbers A complex number is given. (a)...Ch. 8 - Complex Numbers A complex number is given. (a)...Ch. 8 - Complex Numbers A complex number is given. (a)...Ch. 8 - Complex Numbers A complex number is given. (a)...Ch. 8 - Powers Using De Moivres Theorem Use De Moivres...Ch. 8 - Powers Using De Moivres Theorem Use De Moivres...Ch. 8 - Powers Using De Moivres Theorem Use De Moivres...Ch. 8 - Powers Using De Moivres Theorem Use De Moivres...Ch. 8 - Roots of Complex Numbers Find the indicated roots....Ch. 8 - Roots of Complex Numbers Find the indicated roots....Ch. 8 - Roots of Complex Numbers Find the indicated roots....Ch. 8 - Roots of Complex Numbers Find the indicated roots....Ch. 8 - Parametric Curves A pair of parametric equations...Ch. 8 - Parametric Curves A pair of parametric equations...Ch. 8 - Parametric Curves A pair of parametric equations...Ch. 8 - Parametric Curves A pair of parametric equations...Ch. 8 - Graphs of Parametric Equations Use a graphing...Ch. 8 - Graphs of Parametric Equations Use a graphing...Ch. 8 - Finding Parametric Equations for a Curve In the...Ch. 8 - (a) Convert the point whose polar coordinates are...Ch. 8 - (a) Graph the polar equation r = 8 cos . What type...Ch. 8 - Graph the polar equation r = 3 + 6 sin . What type...Ch. 8 - Let z=1+3i. (a) Graph z in the complex plane. (b)...Ch. 8 - Let z1=4(cos712+isin712) and z2=2(cos512+isin512)....Ch. 8 - Find the cube roots of 27i, and sketch these roots...Ch. 8 - (a) Sketch the curve represented by the parametric...Ch. 8 - Find parametric equations for the line of slope 2...Ch. 8 - The position of an object in circular motion is...Ch. 8 - Trajectories Are Parabolas From the graphs in...Ch. 8 - Path of a Baseball Suppose a baseball is thrown at...Ch. 8 - Path of a Rocket Suppose that a rocket is fired at...Ch. 8 - Firing a Missile The initial speed of a missile is...Ch. 8 - Maximum Height Show that the maximum height...Ch. 8 - Shooting into the Wind Suppose that a projectile...Ch. 8 - Shooting into the Wind Using the parametric...

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