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A: we have to find the distance from the point (3,2,5) to the plane whose general equation is 2x+3y-z=0…
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A: Here we have to draw the surface of cylinder having equation x2+4z2=16
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Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.
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A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.
Q: 7. Sketch the surface 15zs9-x' - y² and x'+y' <1
A: To find:
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A: 2d graph of x = z^2
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Q: Where does the line through (1,0, 1) and (4,– 2,2) intersect the plane x+y+z = 6?
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A: We have to find equation of yz plane
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A: The 3D view of the point is as below
Q: Find the distance from the point (2, 2, 3) to the plane 2x + 3y + 5z = 0.
A: Formula of distance of a point from a plane:
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Q: Find all points of horizontal and vertical tangency to the curve: x = 3cos 0 y = 3sine
A: for Horizontal tangent put dydθ=0 for the vertical tangent put dxdθ=0
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A: Two families of curve are said to be mutually orthogonal if they intersect at right angles. Angles…
Q: find the distance from the point to the plane. (0, -1, 0), 2x + y + 2z = 4
A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…
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A: According to the question, we have to find the distance between the points 1,3,-1and the plane…
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A: a) Distance of (3, -4, 2) from xy plane:On xy plane , z=0. So, This point is 2 units away from the…
Q: Find the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10.
A: Given, The distance between the point 2,-4,3 and the plane 5x-2y+z=10.We know that,…
Q: Find the point-normal form equation of the plane containing the point (1, -3, 5) and the line with…
A: Solution: P(1 , -3 , 5) (2 - x ) = (y+1)/2 = -z/3 = t
Q: Find the distance from the point (2, 0, 0) to the plane x + 2y + 2z = 0.
A: Given a point, (2, 0, 0) and the equation of the plane x + 2y + 2z = 0.
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Q: Find a set of symmetric equations for the normal line to the surface xyz = 12 at the point (2, −2,…
A: The normal line to the surface xyz = 12 at the point (2, −2, −3).
Q: Find the distance between the point (0,0,0) and the plane 2x – y + 2z = 4.
A:
Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…
A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…
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A: In this type of questions we assume a line an points on that line. Suppose we have a line and points…
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Q: The line through the point (1, 0, 6) and perpendicular to the plane a + 3y + z = 5
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Q: What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the…
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Q: Determine the distance from point Q = (2, 6, 9) to the plane x + 2y + 2z = 8
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Q: Find the distance between the point (3, −2, 4) and the plane 2x − 5y + z = 10.
A: Given: The equation of a plane is 2x-5y+z=10. To determine: The distance between the point 3,-2,4…
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Q: Find a parameterization for a circle of radius 4 with center (-4,4,-6) in a plane parallel to the yz…
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Q: What is the distance between the point A(1,-1,3) and the plane x + 2y + 2z + 1=0 ?
A: To find The diatance between the point A(1,-1,3) and the given plane
Q: How to find an equation of a plane through a specific point such as (3,0,3)?
A: There can be infinitely many planes passing through one point and hence you can not find an equation…
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Q: Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2
A: Solution:- We have to Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2
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Q: Find the distance from the point (-1,4,5) to the plane 3x+2y-4z=5?
A:
sketch the graph xyz plane x^2+z^2=4
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- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.9 Find the distance from the point (-7,-3,4) to the xy-plane.Find a parameterization for a circle of radius 4 with center (-4,4,-6) in a plane parallel to the yz plane