2. Find an equation for the set of all points P for which the distance from P to the plane z= 4 is twice the distance to the point (1, 1, 1). Describe this surface. You do not need to sketch this surface.

Q: Identify and sketch the surfaces y = - (x2 + z2)

A: Given Data The equation of curve surface is y=-(x²+z²)   The sketch of the surface equation is,

Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Given equation of curve is z = ln x The radius function about z axes is  r(z) = x = ez

Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

A:

Q: Find an equation for the surface consisting of all points P for which the distance from P to the…

A: Let, P(x, y, z) be the point on required surface.

Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

A: We need to determine the equation of the surface that is obtained by rotating the line z=7y about…

Q: Describe and sketch the surface (x2/16) + (y2/9) + z2 = 1

A:

Q: 4d. z =-x´ + y´ Name of the surface

A: The structure obtained from the given equation is more like of dome structure

Q: Find an equation for the surface consisting of all points that are equidistant from the point (-1,0,…

A: The given point and the equation of the plane from where all the points of the surface are…

Q: What is the name of the surface defined by the equation y? x? + + 2z? = 1?

A:

Q: When the plane x = 3 passes through the surface x² + y? + 2? = 64, the curve that forms from…

A: Given, the plane x = 3 passes through the surface x2 + y2 + z2 = 64 . The intersection of plane x =…

Q: The intersection between the surface x + y + z = - 1 and the circle x2 + y2 = 1,z = 0 is

A:

Q: Given a surface, ƒ(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Nothing

Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Match the surfaces (a)-(e) with the contour diagrams (1)-(V, (M)

A:

Q: When the plane x = 3 passes through the surface x2 + y? + z² = 64, %3D the curve that forms from…

A:

Q: Identify and sketch the surfaces x2 + (y - 1)2 + z2 = 1

A: given: the equation of the surface x2+y-12+z2=1

Q: Identify the surface defined by the following equation. y 2 x2 Z= 10 16 The surface defined by the…

A: The given surface represents a Hyperbolic parabola.   A hyperbolic paraboloid is represented as…

Q: Name the surface and draw an accurate Graph of x² – y² – z² = 1 in R’.

A: Given: The surface x 2 - y 2 - z 2 = 1     To determine: The name of the given surface and the graph…

Q: Sketch the section of the surface at y= 0. 4. + 9 36

A: Given the equation4x2+9z2=36

Q: Consider the oriented curve C, which is the intersection, in the first octant of the surfaces shown…

A: Given that  C is the intersection of the surface 1 and surface 2 Surface 1: x-22=y-1 Surface 2: x +…

Q: What is the name of the surface defined by the equation -y? + x? = 1?

A: We have to find surface name defined by the equation -y2-z22+x2=1

Q: Find an equation of the surface consisting of all points P(r, y, z) that are twice as far from the…

A: To find an equation of the surface whose all points are twice as far from the plane z=-4 as from the…

Q: The distance from the point P(1,2,3) to the plane x +y + z = 0 is

A:

Q: Identify the equation associated with each graphed surface. (a) O z? – 1 = y? + 2? O 22 + y² = z O…

A:

Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

A:

Q: Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing…

A: The given equation is   z=x2+2y2at-1≤x≤1and-2≤y≤3

Q: Match the graph of the surface with one of the contour maps. f(x, y) = el - x2 + y2 3 4 N

A:

Q: 12. 4x² + 9y² + 9z² = 36

A: Given: 4x2+9y2+9z2=36

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: Identify and sketch the section of the surface at x = 0. + 4 Туре: 61 6F 6r 4 41 2 4 6 8 -6 -4 -6 -4…

A:

Q: Find the point in which the line through P(3, 2, 1) normal to the plane 2x - y + 2z =-2 meets the…

A: Direction ratios of normal to plane 2x - y + 2z =-2  are <2,-1,2>, since line is normal to…

Q: Consider the oriented curve C, which is the intersection, in the first octant, of the surfaces shown…

A: Given that  C is the intersection of the surface 1 and surface 2 Surface 1: x-22=y-1 Surface 2: x +…

Q: Describe the surface given by the equation, and find xy-trace, xz- trace, and yz-trace. 16x2 + 16y?…

A:

Q: Match the equations of the surface with the graphs below. A в D E F 1. 9a? + 4y? + z² = 1 2. a2 +…

A: now identifying the given quadratic surface

Q: Identify and sketch the surface r+y +- 2r +2 = 0.

A: Answer

Q: Sketch the surface = 2y + 32².

A:

Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure.

A: To evaluate the below integral. ∫Cx−y−2zds

Q: Sketch the section of the surface at y = 0. 4 2 -2 -6 -4 -6 -4 4 6. -61

A:

Q: Consider the following equations of quadric surfaces: b) x² – y² + z? = 4 i) Identify the type of…

A: Given equation of quadratic surfaces:                        x2-y2+z2=4

Q: What are the reace curves of this surface for x=0, y=0, and for z=k? Name the shape of the surface.…

A: Note : In the question it has to be '' trace curves '' instead of '' reace curves ''. So, we are…

Q: Match the graph of the surface with one of the contour maps. f(x, y) = el=x*+y

A: Graph of given multivariable function is

Q: Identify and sketch the section of the surface at x = 0. 4 Type of the surface: 6. 6- 2 -8 -6 -4 4 6…

A: Given the surface

Q: Find the slopes of the surface in the x- and y-directions at the given point.

A: It is given that,z=xy  and point (1,2,2). We have to find the slopes of the surface in the x- and…

Q: Sketch the surface given by the function. z= 9-x?-y? 2x -2 2x

A: Answer

Q: Sketch the section of the surface at y = 0. z = 6r 4 2 -6 -4 -2 6. -4- -6 6r 4 2 -6 -4 -2- -4 4. 2.…

A:

Q: Try to visualize the set of all points (x, y, z)in a coordinate space that are equidistant from the…

A:

Q: Let 11 be the surface with the equation = 2√y+1 and let 12 be the sphere with equation x²+y+z² 16x +…

A: Given data÷ Find the center and radius of the sphere   x2+y2+z2-16x+16y-4z+76=0   General form of…

Q: Let S be the surface with equation 4y2 + 4z²x² - 16 -0. 1. Find an equation of the trace of S on…

A: Solution:S be the surface with equation 4y2+4z2-x2-16=0⇒4y2+4z2-x2=161)Traces of S in the coordinate…

Q: Describe and sketch the surface y = z2

A: Solution: Consider the given surface y = z2 On the y z-plane, it represents a parabola that opens in…

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2