Sketch the surface of f(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: Describe and sketch the surface x + 2y + 3z = 6

A: Given

Q: Does the Divergence Theorem apply to surfaces that are not closed?

A: By Stokes' theorem:

Q: Describe the level surface F(x, y, z) = 0.…

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Q: Let C be the curve of intersection of the surface f(x,y) = y² e x2 - 1 and the plane y = 3. Find the…

A: We firstly need to find curve C and then slope of tangent line to curve C at (1,3).

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 curl of the curve F = (x*y,y'z,z'x)

A: As there are two methods of finding curl you can use any of them as I have shown below to get your…

Q: Find the slope of the tangent line at the point (1,−2,−3) on the curve of intersection of the…

A: Given surface is z=5-4x2-y2 The slope of tangent line to the curve that is the intersection of the…

Q: Find the area of the surface. The part of the surface z = 9 + 5x + 2y2 that lies above the triangle…

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Q: Describe the image of the line z = 1 + iy under the map flz) = sin z %3D

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Q: Classify all critical points for the surface flaiy)= 2x-y-2xy.

A: We have to classify all the critical points for the surface…

Q: Sketch the surface z = f(x.y). f(x.y) = - /x² +y?

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Q: Find the equation of the tangent plane to the surface y = 2x2 - z2 at the point (0, –1, –1) %3D | |

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Q: Sketch the curve of intersection of the surfaces. The paraboloids z = x² + y² and z = 16 – x – y.…

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Q: Sketch the surface z = f(x,y). f(x, y) = -x 2 - y 2 USE GEOGEBRA

A: Function f(x, y) = -x2-y2 To Sketch the surface z=f(x, y).

Q: Identify and use traces to sketch the surface 1. y= 9 - x2 - z2 2. y = 4 - z2

A: We will find traces on all 3 co ordinate planes , x=0 ,y=0 and z=0 . then draw the surface  Note :…

Q: Find the area of the surface. The part of the surface y = 4x + z2 that lies between the planes x =…

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Q: Classify and sketch the surface x − y2 − 4z2 = 0.

A: The surface is given as x-y2-4z2=0. Rewrite the equation x-y2-4z2=0 as follows. x-y2-4z2=0x=y2+4z2…

Q: Let h(x, y) = xye-(x²+y²). Classify all local extrema of the surface using the second derivative…

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Q: The equation z = f(x,y) = y +x -3y defines a surface. What is t- equation of the tangent plane at…

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

A: Given, z=9-x2-y2

Q: = xyi + yzĵ + de is a in x-y plane.

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Q: Find the area of surface x2 – 2y – 2z = 0 that  lies above the triangle bounded by the lines x = 2,…

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Q: Sketch the curve of intersection of the surfaces. The paraboloids z = x² + y² and z = 25 – x – y².…

A: Given that: z=x2+y2      ......(1)z=25-x2-y2      ......(2)

Q: Find an equation of the tangent plane to the surface z = In(x - 2y) at the point (3, 1,0) %3D

A: Given that, z = ln (x - 2y) we have to find the equation of tangant at point (3, 1, 0).

Q: 9ху. Use hyperbolic functions to parametrize the intersection of the surfaces x - y = 49 and z =

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Q: Sketch the surface z = f(x,y). f(x.y) = 4x² + 4y² + 2 OC. OD.

A: Given function is fx,y=4x2+4y2+2. We have to sketch the surface of fx,y=4x2+4y2+2.

Q: Find the equation of tangent plane and normal lines of the surface: f(x, y, z) = 5x² + 4 y2 +z³-9 at…

A: Here we have to find the equation of the tangent plane and normal lines of the surface:…

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: Find a parametrization of the curve. The intersection of the surfaces z = x^2 − y^2 and z = x^2 + xy…

A: Given : The surfaces z = x2 - y2 and z = x2 + xy - 1.   To find the parameterization of the curve.

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: Evaluate the surface z =1,0<x,y <1.

A: To solve this we will use divergence theorem.

Q: Let f(x,y)=/4– 4x² – y² . Find its domain and give a rough sketch of its surface.

A: The given function is:fx, y=4-4x2-y2To find domain and sketch the surface

Q: Find an equation of the plane tangent to the surface xy z2 = 2 at the point (2, 1, -1). %3D

A: Given that XY3 Z2 =2 And point (2, 1,-1).

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: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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Q: Find the slope of the surface z = 3x/y at the point (5,2,15/2) in the x- and y- directions.

A: Given data is: z=3xy  To find the slope of the surface z at the point 5,2,152 in the x and…

Q: Let the surface xz – yz³ + yz? = 2, then - the equation of the tangent plane to the surface at the…

A: Equation of tangent plane of the surface f(x,y,z) =0 at (x0,y0,z0) fx (x0 ,y0 ,z0 )(x-x0) +fy (x0…

Q: Draw the parameterized surface. (Decide on a reasonable domain for u and v.)

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Q: Let S be the surface given by the equation x^3+y^3-xz=5. What is the equation of the tangent plane…

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Q: Sketch the surface 1<z</9-x² - y² and x²+y² <1

A: To sketch the given surfaces.

Q: area of the surface obtained by rotating the curve y=x^3, x ∈ [0

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

A: Answer

Q: 5. y-z =16

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Sketch the section of the surface at z = 0 on y = sinx in xy-plane on [0,2x]. y = sinx 1 3 4 5 1 1 2…

A: Let's find.

Q: Find the equation of the tangent plane to the surface y = 2x - z at the point (0, -1,-2) y+2z = -5…

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Q: Find and sketch the domain and range of the surface f(x, y, z)= ln(16-4x^2-4y^2-z^2

A: Given: The function is fx,y,z=ln16−4x2−4y2−z2 To determine: We have to find and sketch the domain…

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…