Compute ye" ds where C is the line segment from (1, 2) to (4, 7).

Q: Compute ye*ds where Cis the line segment from (1,2) to (4,7). .A 16 34 e4

A: According to the given information, it is required to calculate the value of integral.

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Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

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A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

Q: Compute yds ds where C is the line segment from (1, 2) to (4, 7).

A:

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

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Q: Let L, be the line through the origin and the point (5, 0, –1). Let L, be the line through the…

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Q: Find the distance between the point Q(3, −1, 4) and the line x = −2 + 3t, y = −2t, and z = 1 + 4t

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Q: Let I be the line (1, -1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D

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Q: Show that the embedding of part (g) takes lines to "lines."

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Q: Compute ye*z ye z ds where C is the line segment from (0, 6,-1) to (4, 1, 5).

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Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

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Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.

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Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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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…

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Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

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Q: How Find the Distance from Fant(1,3) and Line y =4

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Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.

Q: Let I be the line (1, -1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l.

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A: We find the integration of given function.

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.