Sketch the curve of intersection of the surfaces. The ellipsoid 2x + 2y² + z? = = 24 and the paraboloid z = x? + y². %3D

Q: * :classify the surface. 1 – y = 5x² + 6z? Cone O Plane O Ellipsoid O

A:

Q: Graph the curve 8y2 = x2 (1 − x2 ). Use a computer algebra system to find the surface area of the…

A:

Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x2 , (z =…

A: The distance of any points ( having same y co-ordinate ) on the curve is at same distance from…

Q: (b) Sketch the trace of the surface z = 2x? – y? when x = -1. Label your axes, and give the…

A: Given surface is  z=2x2-y2          (i) By putting x=-1 in (i), the surface becomes z=2-y2 The graph…

Q: Find the area of the surface formed by revolving the ellipse about the z-axis (an ellipsoid) y² + a²…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y? + 20,…

A:

Q: Classify the quadric surface. z2 = x2 + y? %3D O ellipsoid O hyperboloid of one sheet O hyperboloid…

A: The solution are next step

Q: Identify the type of surface represented by the equation z2 x2 %3D 10 10 6. Parabolic cylinder…

A:

Q: Find the vollumes oF the solid that results when the r egion enclosed by the curves y= x, x = y is…

A:

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

A:

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

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

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: Evaluate .(x+y² +=?) dS, where S is the portion of the paraboloid x=5+y² + z? contained within the…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…

Q: Determine the projection of the surface – y? = z on the yz-plane? (Hint: a = 0) Circle O No answer…

A: The solution is :

Q: Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis.…

A:

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: Identify the surface below: 4z2 = 3x Select one: a. Hyperboloid of two sheets O b. Hyperboloid of…

A:

Q: If the maximum distance from the surface x? + 2y² + z? = 3 to the point (1,0, –1) is Va+ bv6, what…

A:

Q: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…

A: Let's find.

Q: Sketch the portion of the surface that lies in the first octant: y= z.

A:

Q: first orde pde 4yzp+q+2y=0 and passes through the ellipse

A: We have to find out the equation which satisfy the given PDE and passes through the given curves.…

Q: Find the area of the surface that is generated by revolving the portion of the curve y = 2/1-, zE…

A: Use formula of surface area revolved about x axis

Q: Identify and sketch the section of the surface at x = 0. 25.x + 16y² – 922 = 0 Type of the surface:…

A: For x=0, the equation becomes 16y2-9z2=0. And the graph looks like the following.

Q: Identify a generating curve on the xz-plane for the surface of revolution with equation a² + y? + 2?…

A: Consider the surface of revolution with equation, x2+y2+z2=e2x it is required to find the generating…

Q: The figure shows the surface created when the cylinder y2 + z2 =1 intersects the cylinder x2 + z2 =…

A: It is given that, the cylinder y2 + z2 =1............... (1) intersects the cylinder x2 + z2 = 1…

Q: Which one, y=ex, 1≤y≤2, gives the surface area of the solid formed by rotating the curve segment…

A:

Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: What is the size of the largest segment parallel to the y axis inside the ellipsoid

A:

Q: Determine the projection of the surface - y = z on the xy-plane? (Hint: z = 0) O Hyperbola O Ellipse…

A: projection of the surface

Q: Determine the projection of the following surface on the yz plane. 3x + = 1 O Parallel Lines O…

A: Topic:- projection of a surface

Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x.(z 0)

A:

Q: Write the equation x +z* - (y- 1) = 0 in cylindrical sy stem. W hich surface does it represent? Give…

A: Given :            The equation x2 + z2 - (y - 1)2 = 0   To write the given equation in…

Q: The surface defined by the equation z= 4x2 + y2 is called an elliptical paraboloid. a. Write the…

A: Given, function

Q: Find the mass of a thin plate occupying the smaller region cut from the ellipse x2 + 4y2 = 12 by the…

A:

Q: Sketch the graph of the equation in xyz coordinate system and identify the surface 8x? + 4y? – z2 =…

A: Sketch the graph for the given surface.

Q: Find the surface area of the portion of the cone 22 = 4x² + 4y? nat is above the region in the first…

A: Given: The portion of the cone is Z2=4x2+4y2 which is bounded by the line y=x and the parabola y=x2

Q: Find the centroid of the lamina cut by the parabolas y2=x and y=x2.

A: For the clear understanding of curve we have the following graph which is shown below as:

Q: Find an equation for the surface of revolution formed by revolving the curve z2 = 2y in the yz-plane…

A: To find the equation for the surface of revolution

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: The surface x2 + y² = z² is identified as O A. Paraboloid O B. Cone O C. Hyperboloid of one sheet O…

A: the correct answer is option: D .) Hyperboloid of 2 sheets

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. v2 + 2)3/2, 4 s…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of…

A: Given that the curve of intersection of the parabolic cylindery=x2 and the top half of the ellipsoid…

Q: • Find the area of the surface generated by revolving about the x-axis the upper half of the ellipse…

A: IN THIS QUESTION WE HAVE TO FIND AREA FROM REVOLUTION OF A ELLIPSE.

Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

A:

Q: Parametrize the intersection of the surfaces using t = z as the parameter. (If there are multiple…

A:

Q: Identify the surface by completing the squares. x + 4y? – 2 – 6x + 8y + 4z = 0 O An elliptic…

A:

Q: Use traces to help identify the surface y = 9x2+25z?. O a. Hyperbolic paraboloid b. Cone O c.…

A:

Q: Identify the surface by completing the squares. x +16y² – z? – 14x + 32y + 8z = 0 O A hyperboloid of…

A: