21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2), И( 4, -1), W(-5, —4), X(-0, -4) T'(2, -2), V'(4, -1), W'(5, -4), X'(0, -4) d. T'(-2, 2), V'(-4, 1), W'(-5, 4), X'(-0, 4) a. с.

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

A:

Q: 2.) Find the Symmetric form of the equation of the line of in tersection of the two Planes X-Y +Z…

A: Let a, b and c be the direction ratios of the required line. Since the required line lies in both…

Q: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: 15. Reflect the point (2, -4) over the y- axis. a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: Evaluate (x+ y)ds where C is the straight-line segment x = t, y= (4- t), z=0 from (0,4,0) to…

A: Given that x=t,y=4-t,z=0 from (0,4,0) to (4,0,0) evaluate ∫cx+yds

Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

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Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

A:

Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

A:

Q: 8. Reflect in the x-axis. B'(4, 4), C'(1, 5), D'(6, 1) b. B'(-4,-4), C(-1,–5), D'(-6, -1) B'(4, -4),…

A: from the figure, write the corner points

Q: 4) Find the equation of the plane that passes through the point (6,0, 2) and contains the line x = 4…

A: The plane that passes through the point (6, 0, 2) and contains the line x = 4 − 2t, y = 3 + 5t, z =…

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

A:

Q: 3. The line L is parallel to the line x t, y 2t, z =3 and passing through the origin.

A:

Q: Sc 7ydx + 3z dy where C is the straight line path from (2, 4) to (4, 7).

A: The parametric equation of the straight line between the points (a,b), (c,d) is x-ac-a=y-bd-b=t,…

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: 15. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: 22. The line 3. is parallel to the line 2. x+3 A. 3 y+1 z-1 %3D 3 B. f = î - i+ 5k + t(3î + 3j + 2k)…

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

Q: 9. Reflect in the y-axis. 5- 3. > B -3- A (3, 3), В'(6, 3), С(5, 6), D'(0, 6) b. A(-3, 3), B'-6, 3),…

A:

Q: O Find equations of the line that passes through the point (2,0,3) and is normal to the plane x – 2y…

A: We will find out the required equation of line.

Q: Y = , cx. y) = (9,5) X-8 会? Jengent line -? at (9,5)

A: Explanation of the answer is as follows

Q: 9. In the standard (x, y) coordinate plane, line e contains the points (3, 5) and (5,8) and line m…

A: We have to find out k

Q: The equation of the line segment from A(3, – 4,4) to B(5,2,5), 0<t<1 is a. r= (3+ 2t)i +(- 4+6t)j+(4…

A: Topic = vector  correct option 'a'

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Here, the given equation of the plane is 3x+y-6z=8 So, the coefficients of x,y and z will give us…

Q: 2. Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2).

A:

Q: The area bounded by the curve y=4x y=4x  and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose…

A:

Q: Find the distance from the point (1,1,5) to the line X=1+t, Y=3-t, Z=2t. O (5)^0.5 O 7 O 2(3)^0.5 O…

A: Given: Equation of line is: X = 1+ t Y = 3 - t Z = 2t To find: distance from the point (1, 1, 5) to…

Q: fc z2 dx+ x2 dy +y2 dz, C is the line segment from (1,0,0) to  (4,1,2)

A: Given, r(t)=z2dx+x2dy+y2dz We have the line segment from (1,0,0) to (4,1,2) We parametrize the given…

Q: Evaluate S(-x+y+z) dx + (x+y-3) dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

A:

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 .B O 16/77 .c O 56 3…

A:

Q: What is the equation of the circle concentric with circle(x-2)2 + (y+1)2 = 5 that is tangent to the…

A: Explanation of the answer is as follows

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

A:

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2)

A: Given that: Line is: y=5x+7and collineation is: (x, y)=(2y-x, x-2)

Q: What are the new coordinates of A, on the graph below, after a reflection in the line y =x? 6. 4 B…

A: When reflecting a point across the line y = x, just switch the x and y coordinates

Q: 5. Find the point of intersection of the following lines x = 4t +2, y = 3, z = -t +2 b. x = 2s +6, y…

A: Given query is to find the point of intersection of line a and line b.

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 77.B 16/77 .c O 56 3…

A: The line segment is from 4,1,5 to 0,6,-1 . Hence, this line is parallel to the vector, 4,1,5-0,6,-1…

Q: Plot the points on the same three-dimensional coordinate system. (a) (3, 4, 1) (b) (-2, 3, 7) 10. O…

A: Given Data: Plot the points on the same three dimensional coordinate system. (a) (3,4,1) (b)…

Q: Find the equation of the line containing the point (1, 3, −2) that is parallel to both of the planes…

A:

Q: 2. Find the equation of the line that is parallel to the intersection of planes 12, 2x-8y + z = 0…

A:

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates х —…

A: 3, 2. Reflection over x-axis: When a point x, y is reflected over x-axis, then the new coordinates…

Q: What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

Q: Evaluate (x-y+z-2)ds where C is the straight-line segment x=t, y= (1-t), z=1, from (0,1,1) to…

A:

Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).

A: we have to evaluate

Q: Se xe" ds. Cis the line segment from (0, 0, 0) to (1, 2, 3)

A: I am attaching image so that you understand each and every step.

Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: 5. Find the distance between the point (4, 3, 1) and the line f(t) = (2x - 1, –3y + 1, 2)

A:

Q: . Find the equation of the line containing the point (1,3, –2) that is parallel to both of the…

A: