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Q: quation of the hyperb

A: Given,      z=-16

Q: 12 Rhombus PQ RS is shown on the coordinate plane. Points M and N are midpoints of their respective…

A: Reflection of any symmetric figure about some line passing through its center will map the figure…

Q: Find a parametrization of the line in which the planes x- 2y - 2z = 3 and -3x + 3y + 3z = -6…

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Q: 3 FIND TiHE GENERAL FORM (SIMPLIFIED AS wEe) OF THE PLANE ┤㈑┤㈑慈㈑唄┤泉㈑┤㈑┤㈑┤k┤寮┤ (!,0,5) (2,10, 6) AND…

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Q: A plane in 3D-space system A. is generated by at least three points. B. can lie in more than one…

A: A plane in 3D-space system is generated by three points from which if the first nd second points…

Q: Find a vector parametrization of the curve x = -3z² in the xz-plane. t as the parameter in your…

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Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: Verdy s Tokes Theorem To F=メー2X54k half-ellipsoid * on any eand Z 70

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Q: Consider the equation below. Operati x² + 9y – 9z² = 0 Functic Symbo Reduce the equation to one of…

A: Given equation x^2+9y-9z^2=0

Q: Find equations for the planes. Knowing that the plane through the point PO (0, 2, -1) normal to.…

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Q: गाण the Simultaneous earvation. ntuy-4 the linel in ay Plane and indiceate the solu tion.

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Q: Find a parametric representation of the line of intersection of the two given planes 2x+y-z=6…

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Q: Find a parametrization of the line in which the planes x-2y -2z = 3 and -3x + 3y + 3z = -6…

A: We have to find value of x, y and z

Q: Cylinder ytZ =1 and plane X-y=0 are given. find the curve that is their intersection and specify the…

A: If we plot the curve y2 + z2 = 1, we get  and if we plot x-y = 0, we get

Q: nterseeting Lines Finad the plane determined by the Loi Xi=l-2t, , J="l-st,, 2= -2+t, L2: X2=-3+t2,…

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Q: Find a parametrization of the line in which the planes x- 2y - 4z=1 and - 2x +3y + 6z = - 3…

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Q: 4. Triangle XYZ with vertices X(-6, 4), Y(0, 6), and Z(-4, 2): a) 180° counterclockwise rotation…

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Q: |2] Find eguation tor the plane in the tollawing: the plane through P.(0,2,-1) novmaf to n=3i-2j-k

A: we know that vector equation of the plane is (r-a).n=0.

Q: Three planes fly in specific directions as shown below. Is there a possibility of a collision…

A: If any two planes collide, then, they will be at a same point at collision, i.e., there coordinates…

Q: Find a parametrization of the line in which the planes x- 2y + 2z = - 1 and – 4x+ 3y – 3z = -1…

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Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: Consider S as a quadric with equation 4x² − (y − 3)² + 4z² = 4 1. Classify what type of quadric is…

A: Since there are more than three subparts, according to the guidelines only first three subparts will…

Q: 8. U V 4. 1 -12-11-10-9 -8-7 -6 -5 -4 -3-2 -1 1 2 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 -10 -11 -12 Figure…

A: Given:

Q: Find a parametrization for the line perpendicular to (4,-1,1), parallel to the plane 4x+y-8z=1, and…

A: The parallel line through the point has the vector equation L = < 1,0,5 > + t < a, b, c…

Q: Q2 Using a formula or otherwise, estimate the perpendicular distance between adjacent planes shown…

A: Given, a→=0.2ib→=0.1j Now, calculating the primitive cell area, 0.2×0.1=0.02 nm2 Now, considering a…

Q: a plane th

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Q: Find the orthogonal trajectories of the family of curves (rectangular hyperbolas) given by xy = c.…

A: From the given curve: xy=c Now differentiate on both sides with respect to x.…

Q: An object starts at the point (1,0), moves along the curve x09 + y ,99 = 1, and stops at the point…

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Q: A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere…

A: Question 5 A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a…

Q: Pifor fig s hown, find the plane using 1gebric methoode C4, x

A: P4, 0, 0  Q0, 5, 0R0, 0, 3

Q: 8) Rectangle GHJK with vertices G(2,3), H(2, 5), J(6, 5) and K(6, 3) is rotated 180° about the…

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Q: 4 /5 . 135% + - (a) Find parametric equations for the line of intersection of the planes x+2y- = 3…

A: In X plane, put y=z=0 & in Y plane put x=z=0 &in Z plane put x=y=0

Q: Does the plane x = 5 have a trace in the yz-plane? Explain.

A: Given: The plane is: x=5 We have to determine the given plane is trace in the yz-plane and explain

Q: The center of regular octagon ABCDEFGH is the origin of the coordinate plane. 2- F Select all angles…

A: As we know that for a figure or object that has rotational symmetry, the angle of turning during…

Q: I Find a Cartesian cequation for cach of thhese parametric equatioms, giving your answer in the form…

A: d.) x=2t+1, y=1t, t>0from ⇒x=2t+1⇒x-1=2t⇒x-12=tnow substitute the above 't' value in y=1t then we…

Q: A = (1,1,8) 8= (-1,1,8) C = (0,0,1) 1. DETERMINE AN EQN OF THE PLANE LI IN R3 THAT CONTA INS ALL 3…

A: As 2 Questions are given, I will solve only the first one: We are given 3 points :…

Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: The point (-1, 0, 3) is located on the: O xy plane O xz plane O yz plane O all of the above

A: Applying coordinate geometry we have

Q: 7. Rhombus FGHI with vertices F(6, -1). G(11, -3). H(13, -8). and (8. -6): scale factor = 2,…

A: Dilations involve multiplications. Scale factor 2 means every coordinate of original figure has to…

Q: The plane N contain the points P(1,–4, –5) and Q(2, 1, –3). Moreover, it contains the line 1 3 -x =…

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Q: 3 FIND TiHE GENERAL FORM (SIMPLIFIED AS WELC) OF THE PLANE (1,0,5), (2,10, 6) (-),2,3) CONTAINING

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Q: 6. Find a parametric representation of the line of intersection of the two given planes. 2x+ y- z= 6…

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Q: GIuen that C Elis) in 'cartesian (oordinate sustem, points A(-2,2) B (4,2) and Cartesian (oordingte…

A: The altitude which is perpendicular drawn from the vertex and the median which divides the triangle…

Q: Find a generating the vz-lane for t

A: Given: Given the surface of revolution with the equation x2+y2+z2=e2x. To find: Generating curve on…

Q: Three planes fly in specific directions as shown below. Is there a possibility of a collision…

A: If any two planes collide, then, they will be at a same point at collision, i.e., there coordinates…

Q: FIND THE ACUTE ANGEL BETWEEN し2: メ-2 り+1 3-2 1) -3 AND THE PLANE メ+ 2y-そ=1

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Q: 12) Determìne a parametriaation for a right right circulor cone with vertex semiangle a and slant…

A: According to the given information, it is required to determine the parametrization for a right…

Q: Find the centroids of region A and region B where region A is formed by an arc of a parabola that…

A: • First we need to find the area of the respective regions and then the moment of that area about x…