AJKL has vertices J(1,-3), K(4, –3), and L(3,1). Reflect AJKL across the y-axis and then rotate it 180° about the origin.

Q: Find b and c so that y = - 8x + bx + c has vertex (0, – 1). %3D %3D c =

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Q: Consider 13 -6v3zy+7y- 256 0. Classify the conic section and (2) calculate the angle of rotation of…

A: Given the equation of the conic section is  13x2-63xy+7y2-256=0                      (i) The general…

Q: Find the value of So(4x + y)dy- xydy where C is the path around the triangle in the counterclockwise…

A: The objective is to find the value of the given integral where c is the path around the triangle in…

Q: Show that when a satellite is in elliptical orbit, its speed V is given by v² = k = k ( ² − ²) and…

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Q: Determine the point on the plane 2x + 3y − 4z = 0 that is closest to the point P(1, 1, 1)

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Q: Find the condition for the points (a, 0). (h, k){0,b) when ab = 0 to be collinear.

A: Find the condition for the given points to be collinear.

Q: Which of the following conics has an eccentricity greater than 1? * 9x² + 16y² 36x +96y +36 = 0…

A: The eccentricities of conic sections are as follows. For circle e=0 For parabola e=1 For ellipse…

Q: Find an equation of the form ar+by+cz = d for the plane that passes through the points A(3,2,0),…

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Q: Create one model or figure for a Klein-Beltrami model of hyperbolic geometry.

A: To create: One figure for a Klein-Beltrami model of hyperbolic geometry.

Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: Find the point on the plane x+y+z=-46 that is closest to the point (1,1,1).

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Q: Find the coordinates of the reflection without using the coordinate plane. Q(-3,5) over the y-axis.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: 3. Find the distance from P(1, 1, 1) to the plane II with equation r – 3y + 4z = 10.

A: Distance between point and plane is (4√26)/13.

Q: The angle of rotation is 18.485 of the conic section with equation Ax- Bxy +Cy 4, if A=C- 20 and B+C…

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Q: Consider a circle C in the xy-plane. If it is given that the points (2, 3),(2, −1) and (0, 3) are on…

A: Given points are (2, 3),(2, −1) and (0, 3)

Q: the sum of the distances from (x,y) to (-1,0) and from (x,y) to (1,0) is 4. show x and y is related…

A: Distance from (x,y) to (-1,0) is:  Distance from (x,y) to (1,0) is:

Q: Find the point Q symmetric to the point P (1; 3; —4) with respect to the plane 3x+y-2z=0

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Q: Calculate , (7xy+ 3e²) dS, where S is the triangle with vertices (0,0, 3), (1,0, 2), and (0, 4, 1).…

A: Given vertices of triangle are 0,0,3 ,1,0,2 ,0,4,1 Let the equation of plane through these points…

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: What is the minimum angle of rotation (in degrees) that will carry the six-sided star onto itself: I…

A: It is a 6 sided star that means it will redivided into 3 parts:⇒ we divide 360°( full rotation ) by…

Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Find a parametric representation of the line through the point P(3,1,-4) and perpendicular to the…

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Q: Suppose that a dome has a semi elliptical ceiling, 96 ft long and 23ft high. Choose a coordinate…

A: Given that semi elliptical ceiling, 96 ft long and 23 ft high. Given that 2a=96 obtain the length of…

Q: Find the shortest distance between the point A(2, 5, –7) and the plane 3x – 5y + 6z = 9.

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

Q: Зх + 2у + 3z %3D 6

A: Use a graphing utility to plot the graph of 3x+2y+3z=6 .

Q: Зу — 2z 3D 6

A: Use a graphing utility to plot the plane, 3y-2z=6 .

Q: :) Find the shortest distance from the point P(3, 1, 1) to the plane with equation 2x – 3y + 2z = 22…

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Q: Region A is formed by bounding the lines y= T, y = 6, and the y-axis. Determine which pair %3D of…

A: Region A is formed by bounding the lines y=x, y=6 and y-axis. We have to determine which pair of…

Q: Find the coordinates of the reflection without using the coordinate plane. P (4,6) over the x-axis.

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Q: If AB = 15 m, BC = 18 m and CA = 24 m, find the point %3D %3D %3D intersection of the angular…

A: As we konw angle bisector of triangle is incentre so we can find it by directlly formula

Q: Find the shortest distance between (3,4,1 ) and the plane X+y +Z = -2

A: Using distance between plane and point formula we can calculate.

Q: Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

A: When points are colllinear area should be 0Therefore, 12a01hk10b1=012ak1b1+1hkb1=0

Q: Parametrize the directed line parabolic segment y = x2 that joins 2 + 4i to −1 + i.

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Q: Find the projection of a on the plane P if a 4 and P has the equation x + y + z = 1.

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Q: Consider the projection from the origin of the straight line y + x = 2 on a straight line y + 2x =…

A: Graph formed by

Q: 1) Find the distance from the point (1, 2, 3) (a) XZ plane to the (b) Z axis

A: In this question we will use basic of geometry i.e concept of 3D geometry. We will first plot the…

Q: Given A = -3ax + 2ay + 7az and B = 2ax - 6ay + 5az , find the %3D %3D projection of A on B.

A: solution is 2.11

Q: What kind of conic section is given by the quadratic form ? -11x,? + 84x,x2 + 24x2? = 156 Transform…

A: Given quadratic form is-11x12+84x1x2+24x22=156The above conic is determined and transformed to…

Q: Find the value of o(4x + y)dy - rydy where C is the path around the triangle in the counterclockwise…

A: According to our guidelines we can only answer one question at time, rest you can repost. The given…

Q: Verify that the line r(t) = [1 + t, 1 - t, t] is part of the one sheeted hyperboloid x^2 + y^2 -…

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: The plane containing the point (-4,1,3) and parallel to the plane 4x + 7y – 3z = 2 has equation Ar +…

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Q: 9. f(z) = e'n/4z %3D

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Q: Find the points PCo10,0),Q Ce,2,0) and RCOl- thal- 2I to the line: the Line in the Plane of passes…

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Q: 1. Find the Point the Plane X + 3y +27 = 6 that on %3D is nearest to the orig in.

A: To find- Find the point on the plane x + 3y + 2z = 6 that is nearest to the origin.

Q: Find the distance from the point B = (1,0, 2) to the plane 2P whose general equation isx + y - z =…

A: Given: equation of plane is x+y-z=1  We know that distanced from the pointx1,y1,z1 to the…

Q: What is the image of the point (1,8) after a rotation of 180° counterclockwise about the origin?…

A: topic - rotation of a point 180 ° counterclockwise rotation of a point will produce a image with…

Q: Find the required information and graph: 7x² + 3y2 - 42x + 6y – 39 = 0 Classify the conic section:…

A: The conic function 7x2+3y2-42x+6y-39=0. We have to find the following requirements...