Explanation Given: The radius of the spherical buoy is 2 ft . 6 inches of the buoy are submerged in lake. Approach: The equation of the sphere is given by, ( x − h ) 2 + ( y − k ) 2 + ( z − l ) 2 = r 2 Here, r is the radius and center is at C ( h , k , l ) . Calculation: The following figure shows the spherical buoy. Figure ( 1 ) The equation of the circle with center at origin is, To determine (b) To find: The equation of the circle formed at the waterline of the buoy.

4th Edition

ISBN: 2818000007824

Author: Stewart

Publisher: CENGAGE L

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Chapter 9.3, Problem 22E

To determine

(a)

To find:

The equation of the sphere.

To determine

(b)

To find:

The equation of the circle formed at the waterline of the buoy.

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Chapter 9.3, Problem 21E

Chapter 9.3, Problem 23E

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. A Spherical Buoy A spherical buoy of radius 2 ft floats in a calm lake. Six inches of the buoy are submerged. Place a coordinate system with the origin at the center of the sphere. (a) Find an equation of the sphere. (b) Find an equation of the circle formed at the waterline of the buoy. 2 ft

Determine the coordinates

Learning Task 2: In your answer sheet, copy and answer the following. Learning Task 1: In the plane below, identify the coordinates of the center of each circle and measure of its radii. Answer this in your answer sheet. Learning Task 2: In your answer sheet, copy and answer the following. 1. Write the standard form of the equation of a circle with center at the origin and radius 9. 2. Write the standard form of the equation of a circle with center at (-5,6) and tangent to the x-axis. 3. What is the center and radius of the circle defined by the equation (x + 1)2 + (y + 3)² = 16 4. What is the center and radius of the circle whose equation is x2 + y? - 16x + 8y + 31 = 0 5. Change the equation of the circle (x + 1)? + (y + 3)² = 16 into general form. Center: radius = Center: radius = ? Learning Task 3. In your answer sheet, copy and answer the given below. Identify the center and radius of each equation. Then sketch the graph. Learning Task 3. Circle Coordinates of the Name 1 radius…

Chapter 9 Solutions

ALGEBRA AND TRIGONOMETRY-WEBASSIGN

Ch. 9.1 - Prob. 1E Ch. 9.1 - CONCEPTS 2. a The length of a vector w=a1,a2 is...Ch. 9.1 - 38 Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - SKILLS 3-8 Sketching Vectors Sketch the vector...Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - 19-22Sketching VectorsSketch the given vector with...Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - 27-30Writing Vectors in terms of i and jWrite the...Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - 31-36 Operations with vectors Find 2u, 3v, u+v,...Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Components of a VelocityA jet is flying in a...Ch. 9.1 - 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(a) To find: The equation of the sphere.

Solution Summary: The author explains the equation of the sphere, which is x2+y2, +z2.