Express the following equations in standard form to name the corresponding surface and sketch a. x² + 2z² – 6x – y + 10 = 0 b. 9y2 – 4x² – 36z = 0 - %3D

Q: Identify the following surfaces and sketch. a. x² + 4y² – 4z² – 6x – 16y – 16z + 5 = 0 b. 5y = -z2 +…

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Q: Identify the surface defined by the following equation. 2x-y²-z² =0

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Q: Reduce the equation to standard form, classify the surface and sketch it     x2 = 2y2 + 3z2

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Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin²z, z = [0, π]

A: Any point on the 3D plane is represented using the ordered pair: x, y, z. A graphing utility can be…

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

A: We will use basic of graph plotting.

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹ x² + y² O 3 4 y x

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Q: Eliminate the parameter tt to find a simplified Cartesian equation of the form y=mx+by=mx+b for…

A: Here the parametric equation is given. So to find the simplified Cartesian equation initially we…

Q: Identify the surface in Cartesian coordinate for each of the following equations. а) р-5 and b)…

A: The solution is given below.

Q: sketch the given surface. x 2+ 9y 2 + 4z 2 = 36

A: To sketch the given graph

Q: d. x-2x +y? + z = 3

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

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

Q: draw and identify the graph of the following surfaces a. x² + y² = sin²z, z = [0, π]

A: Any surface in the 3D plane can be represented in the form of f(x,y,z)=0. A graphing utility can be…

Q: Find the point on the surface z = xy + 1 nearest the origin.

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Q: Sketch the surface with equation x^2 + y^2 + 2z^2 − 1 = 0.

A: The given equation is x2+y2+2z2-1=0

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

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Q: Express the following equations in standard form to name the corresponding surface and sketch a. x²…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sketch and identify the surface given by the equation Z=: x² +

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Q: Given the expression x* – 3x + 7 = y³. on the interval [3,5], determine the surface of revolution if…

A: Given; x4-3x+7=y3 on the interval [3,5]

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: Identify the surfaces represented by the equations and sketch their graphs. 1. x2 + 4y2 + 9z2 36

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Q: Write the equation for the surface generated by the revolving curve y = 2x +1, revolved around the x…

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

A: Given the equation4x2+9z2=36

Q: Consider the equation of the surface. 1 f (x, y) = x² + y² + 1 Identify the graph of the surface…

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Q: Identify the surface in Cartesian coordinate for each of the following equations. a) p=5 and b)…

A: Given equations are in polar coordinates and we have to write their equation in Cartesian…

Q: Identify the type of surface represented by the given equation. x? ? z? 10 =D1 7 O Elliptical cone O…

A: Given query is to find the surface represented by given equation.

Q: Use the change in variables s = x + 4y, t = y to find the area of the ellipse x^2 + 8xy + 17y^2,…

A: We have to find the area of the ellipse  x2+8xy+17y2≤1. Use the change in variables s=x+4y and t=y…

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

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Q: Use the change of variables s = x + y, t = y to find the area of the ellipse æ² + 2xy+ 2y² < 1.

A: Rearrange the inequality that represents the area of ellipse in an appropriate form. Then,…

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

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

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Q: Find the cylinder surface determined by Curve 4x?+9g? -36=0 and d= ( 1, -1. 32 line.

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Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z-35=0 B)y² + 4z² =x

A: Quadric Surface: A graph of a function of two variables z=fx, y is called a quadric surface. There…

Q: Find the area of the surface formed by rotating the curve with the equation x ^ (2) - (y ^ (2)) /…

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

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

Q: x2 Consider the surface T with equation 4 (y – 3)² + 22 = 1. - 3

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Q: x + y? – 4y + 2² = 0

A: Consider the provided question, Given equation of the surface, x+y2-4y+z2=0

Q: Use sine and cosine to parametrize the intersection of the surfaces x² + y² = 16 and z = 4x³. r(t) =

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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: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z…

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

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

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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: Find the equation of the tangent plane to the surface 9x +36y +4z? = 108 at the point (-2,1,-3).…

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Q: Name the surface and draw an accurate Graph of y = x² + z² in R'.

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Q: Consider a closcd rectangular box with a square base with side æ and height y. a. Find an equation…

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Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z2-35=0 B)y² + 4z² =x

A: We will standardize  given equations 1st and then find required surface ,

Q: nsider the equation of the surface S given by 2x. + 3XYP + y2 wher mber and ß is an impair number ,…

A: In this question, the concept of the derivative is applied to find out the tangent to the plane.…

Q: 4. Consider the equation 16y" - 4 + 2² = 16. By first deseribing all of its traces, sketch the…

A: Given,  The equation, 16y2 -4x2 + z2 = 16

Q: Given the surface of revolution with equation 22 y? 3x. 3 3 Find a generating curve of the surface…

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Q: Find the equation and sketch the graph of the surface generated by S revolved about the y-axis.

A: We are asked to find the equation of the surface generated by S revolved about the y-axis. The…