Q: There is a line through the origin that divides the region bounded by the parabola y = 6x x-axis…
A: We will find the slope
Q: Calculate the distance between the points J (-7,0) and L= (-2,-4) in the coordinate plane. Give an…
A: Given, Two points J(-7,0) and L(-2,-4) in coordinate plane we need to calculate distance…
Q: sketch the section of the surface
A:
Q: Describe a surface of revolution in your own words.
A:
Q: describe the difference between 1-dimensional, 2-dimensional, and 3-dimensional figures.
A: Difference between 1dimensional, 2dimensional and 3 dimensional shapes.
Q: There is a line through the origin that divides the region bounded by the parabola y = 5z – 2z and…
A:
Q: sketch y+3x =9 in two dimensional and three dimensional space
A: sketch y+3x =9 in two dimensional and three dimensional space
Q: What are the traces of a surface? How do you find them?
A: Traces of surfaces are curves that represent the intersection of the surface and the plane given by…
Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it. Label at…
A: y2=16+x2+z2
Q: What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?
A:
Q: There is a line through the origin that divides the region bounded by the parabola y = 2x and the…
A: Answer
Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…
A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2
Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 3? and…
A: The equation of the line passing through the origin is y=mx where m is the slope of the line. The…
Q: What is a trace of a surface?
A:
Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…
A:
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 an equation of the surface of revolution obtained by revolving the plane curve 4x² – y² = 4…
A: The given equation of plane curve is 4x2-y2=4. Since the plane curve is rotated about x-axis,…
Q: Explain what it means for a surface to be orientable.
A: They are the surfaces for which we can define clockwise consistently. e.g. Cylinder and spheres are…
Q: ) I would need help wit
A: 22. Given, 4y2+z2-x-16y-4z+20=0
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: Identify the surface асе
A:
Q: show its 3d version using geogebra
A: We have the unit vector asa^=2299152, -9, -72The 3D figure of the unit vector in Geogebra is as…
Q: Find the area of the surface generated by revolving the curve y=x^3/18, 0(<=)x(<=) 2 square root 2,…
A:
Q: Use disk method and draw a graph. √(9-y^2 ),y=1,y=3,x=0 about the y-axis
A:
Q: A manufacturer wants to design an open box having a square base and a surface area of 244 square…
A:
Q: the solid cut from the first octant by the surface z = 81-x2-y
A:
Q: Discribe the topology through diagrams of surface and curves
A: Describe topology through diagrams of surface and curves.
Q: find the points on the surface
A: Given, S: x2-y2+6z=0=fx,y,z where normal line to the surface is parallel to the line passing through…
Q: There is a line through the origin that divides the region bounded by the parabola y 7z 5x and the x…
A:
Q: The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and…
A: The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotating it out of the xy-plane and around…
Q: classify the quadric surface given by equation and determine its standard form.−8x 2 − 8y2 + 10z2 +…
A: We have the quadratic surface : -8x2-8y2+10z2+32xy-4xz-4yz-24=0…
Q: Explain how to find the distance between two parallel planes.
A: Explain how to find the distance between two parallel planes.
Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…
A: Follow the procedure given below.
Q: There is a line through the origin that divides the region bounded by the parabola y 2x 5x? and the…
A: Shown below
Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…
A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )
Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = Square root…
A:
Q: Plot the surface of 6a2- 2x4- y?z2 = 0, for -10 <x, y, z < 10
A:
Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…
A: Here I am attaching image so that you understand each and every step.
Q: Describe and sketch the surface 16x2 + 16y2 − 9z2 = 0
A: Given surface 16x2+16y2-9z2=0
Q: Describe the usual orientation of a closed surface such as a sphere.
A:
Q: There is a line through the origin that divides the region bounded by the parabola y=8x−4x2y=8x-4x2…
A:
Q: Draw the left and front vlews of the solid below. Left Front
A: Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and…
Q: What is being constructed in the image?
A: Choose a correct option.
Q: Describe the appearance of a smooth surface with a local maximum at a point.
A: Solution:- Describe the appearance of a smooth surface with a local maximum at a point.
Q: How are dot products useful?
A: Two vectors can be multiplied using the dot product. The dot product is written using a central dot.…
Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7
A: General equation of sphere is given by:
Q: Describe the relationship between the graphs of x2 + 4y2 + 9z2 = 100 and x2 + 4y2 + 9z2 + 54z = 19,…
A: Given graphs are x2+4y2+9z2=100 and x2+4y2+9z2+54z=19.
Q: Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2
A: Solution:- We have to Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2
Q: What is the surface generated by a straight line which moves along a fixed curve, and which remains…
A: To determine the name of the surface generated by a straight line which moves along a fixed curve,…
Q: Find the area of the surface generated by revolving the curve y=2/x 18xs2, about the x-axis.
A:
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