Concept explainers
Identifying surfaces Consider the surfaces defined by the following equations.
a. Identify and briefly describe the surface.
b. Find the xy-, xz-, and yz-traces, when they exist.
c. Find the intercepts with the three coordinate axes, when they exist.
d. Make a sketch of the surface.
18.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- find the equation and the identify the surface thank youarrow_forwardIdentify and sketch the surfaces described by the given equations. Explain.arrow_forwardIdentify and sketch the surface of each of the following 4 equations. Label the intercepts and traces of your graph. (Employ translation of axes, if necessary.) 2. 25x?-100y? + 16z : - 400 ==arrow_forward
- Identify the surfaces represented by the equations and sketch their graphs. 1. x? + 4y2 + 9z² = 36arrow_forwardIdentifying surfaces Consider the surfaces defined by thefollowing equations.a. Identify and briefly describe the surface.b. Find the xy-, xz-, and yz-traces, when they exist.c. Find the intercepts with the three coordinate axes, when they exist.d. Sketch the surface.arrow_forwardIdentify and sketch the surface (S) of equation z = + 16 4 your work). .(Show all the details ofarrow_forward
- Describe the surfaces in words and draw a graph. Your description should include the general shape, the location, and the direction/orientation. a. (y + 1)? + (z – 2)² = 9 b. y = 5 c. z = x + 2arrow_forwardGive a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. x2+y2=36, z=3 Choose the correct description. A. The circle with center (6,6,0) and radius 3, parallel to the xy-plane B. The circle with center (0,0,3) and radius 6, parallel to the xy-plane C. The line through (6,6,3), parallel to the z-axis D. The line that passes through the points (6,0,3) and (0,6,3)arrow_forwardDescribe in words the surface whose equation is given. p = 7 O a circular cylinder with radius 7 and axis the y-axis O a circle with center the origin and radius 7 O a circular cylinder with radius 7 and axis the x-axis O a circular cylinder with radius 7 and axis the z-axis O a sphere with center the origin and radius 7arrow_forward
- Identify the equation associated with each graphed surface. (a) O 2? = - 2² – y? +1 O 22 – 1 = y + x O 22 +1 = y? + x? O2? – 1 = y? + x² O a? + y? = z? (b) O a? + y? = z2 O 2? +1 = y? + æ? O z2 – 1 = y + x O 2? – 1 = y? + ² O2? = - 2? – y? + 1arrow_forwardy 2 0.2 0.4 0.6 0.8 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 Write the equation for the above surface.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage