Explanation The parametric equations of a circle of radius R with center at the point ( a , b ) will be given by: x = a + R cos u , y = b + R sin u Given: The radius of a circle is 2 with the centre at ( 1 , 1 ) . Formula Used: The intersection of the circle with x -axis is given by: y = 0 The intersection of the circle with y -axis is given by: x = 0 Calculation: The parametric equations of the circle are given by: x = a + R cos u , y = b + R sin u x = 1 + 2 cos u , y = 1 + 2 sin u Now, the intersection of the circle with x -axis is given by y = 0 and we get: 1 + 2 sin u = 0 sin u = − 1 2 u = 7 π 6 , 11 π 6 So, the x -coordinates of the points are: x = 1 + R cos u x = 1 + 2 cos 7 π 6 , 1 + 2 cos 11 π 6 x = 1 − 3 , 1 + 3 Thus, the points of intersection of the circle with the x -axis are ( 1 ± 3 , 0 ) ...

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 12, Problem 3CRE

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We need to determine parametric equations for the circle of radius 2 with center $(1, 1)$ and use the equations to find the points of intersection of the circle with the x-axis and y-axis.

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Chapter 12, Problem 2CRE

Chapter 12, Problem 4CRE

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Chapter 12 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

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We need to determine parametric equations for the circle of radius 2 with center ( 1 , 1 ) and use the equations to find the points of intersection of the circle with the x-axis and y -axis.

Solution Summary: The parametric equations for a circle of radius 2 with center are given by: x = 1 + 2 cos u.

We need to determine parametric equations for the circle of radius 2 with center $(1, 1)$ and use the equations to find the points of intersection of the circle with the x-axis and y-axis.

Want to see the full answer?

Chapter 12 Solutions

We need to determine parametric equations for the circle of radius 2 with center ( 1 , 1 ) and use the equations to find the points of intersection of the circle with the x-axis and y -axis.

Solution Summary: The parametric equations for a circle of radius 2 with center are given by: x = 1 + 2 cos u.

We need to determine parametric equations for the circle of radius 2 with center (1,1) and use the equations to find the points of intersection of the circle with the x-axis and y-axis.

Want to see the full answer?

Chapter 12 Solutions

We need to determine parametric equations for the circle of radius 2 with center $(1, 1)$ and use the equations to find the points of intersection of the circle with the x-axis and y-axis.