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

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 the area of the surface that is generated by revolving the portion of the curve y= x² between x…

A:

Q: Find the surface are generated when y= (x^3)/5 is revolved about the x axis on the interval…

A: Explanation of the solution is given below...

Q: Identify and sketch the section of the surface at x = 0.

A: First put x=0 in the surface equation the new equation is standard ellipse equation .

Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y? =…

A: The given equation x2+y2=13f=x2+y2-13 Gradient f = 2xi+2yj The unit vector normal to the XY plane is…

Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

Q: Identify and sketch the surfaces x2 + y2 + z2 = 4

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Q: Which of the following is the total length of the curve of intersection of the surfaces x2 + y? + 22…

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Q: Find the area of surface that is generated by revolving the portion of the curve 9 – y² , – 2 < y< 2…

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Q: Sketch the section of the surface at x = 0. y? - 25z? = 25 12 -12 -8 12 -4 -8 -12 4 -6 -2 -4 4.

A: topic - hyperbola

Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x², 0sis…

A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

Q: Sketch the portion of the surface that lies in the first octant: x = y. 12 1.5 1 0.5 0.15 . 0. . 2.

A: The given plane is in first octant and the plane is given by:  x = y

Q: 5. Plot the surface of 6x2 – 2.r – y?z2 = 0, for -10 <r, y, z < 10 %3D | |

A: To plot the given surface.

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

A:

Q: Evaluate yds where S is the surface = x + 2y?, 0 <a < 1, 0<y S 2

A: Consider the surface, z = x + 2y²

Q: Use traces to sketch and identify the following surface 25x² + 4y? + z² 100.

A: Given: The surface 25x2+4y2+z2=100.

Q: Describe and provide a rough sketch of the surface determined by the following equation: -x² +4y? -…

A:

Q: Identify and sketch the surfaces x2 + z2 = y2

A: Given surface is x2+z2=y2. The given equation is in the form of x2a2+z2c2=y2. So, the given surface…

Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

Q: Find the area of the surface that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: Match the graph of the surface with one of the contour maps. /x, y) = el-x+y

A: By using graphing plotter, (x,y,z)=(x,y,f(x,y)).

Q: Identify and sketch the section of the surface at x = 0. 2y? – x + 22 = 50 Type of the surface:

A: This question is related to conic section .solve in step 2.

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: sketch the given surface. x = 1 + y 2+ z2

A: sketch the given surface. x = 1 + y 2+ z2

Q: Find the area of the surface generated by revolving the curve, x = /6y – y? ; 2sys 5

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Determine the projection of the surface - y = 3. on the yz-plane? (Hint: x = 0) O Parabola O No…

A: Given:      Surface x23-y2=z       By putting x=0 we get             023-y2=z

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: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: Which type of surface does the curve x=t2, y = tsin(t), z=tcos(t) lie on?

A:

Q: Identify and sketch the surface by plotting different traces of (x – 1)2 – (x + 2)2 - (z + 4)² = 0.

A: According to the given information, it is required to identify and sketch the surface.

Q: sketch the given surface. y 2+ z 2 = 1

A: To sketch: The surface y2+ z2 =1 Concept used: The general equation of the cylinder whose base…

Q: Find the surface area generated by rotating the first quadrant portion of the curve  x2=16-8y about…

A:

Q: Sketch the surface of f(x,y)

A: To sketch the function

Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.

Q: Sketch the surface in R' of the equation presented. x2 + y? - 8x = 0

A: Sketch the graph on xy-plane, i.e., when z=0

Q: Describe and sketch the surface given by the function. f(x, y) = y2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Identify the name and sketch the following surfaces. i) 3y=9-5x ii) x+y =25-z

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

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Q: Sketch a typical level surface for the function f(x,y,z) = z - 2x2 – y?. Choose the correct answer…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 8x2 + y? –…

A: Given equation of surface  z= 8x2+y2-7 y for the function f(x,y)= 8x2+y2-7 y  ∂f∂x=16x ;…

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: Sketch the portion of the surface that lies in the first octant: y = z. 0.15 0.a 0.1 0. 0.15 0.18

A: To sketch the portion of the surface y=z that lies in the first octant. The sketch of y=z is:

Q: Find the point on the surface r² – 2ry + 2y² – x +y = 0 closest to the point (1, 2, –3).

A:

Q: Classify and Sketch the surface X2+ Zy² + Z? -4x+4y-2z+3:0

A: The given equation of the surface is x2 + 2y2 + z2 - 4x + 4y - 2z + 3 = 0.The general equation,…

Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

A:

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

A: Answer

Q: Find the area of the surface obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D

A:

Q: Describe and sketch the surface given by the function. f(x, y) = e−x

A: Given: fx,y=e-x

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…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.