How.2 Find the distancefromthe_Paintofintersection oftheliner X=2t+ ,y=3t+2,2244+3 Xet+2,y 2t+4 ,te-4t andthe line X= 4-t y=3+ it. and

Q: Evaluate the line integral 6ydx + 4xdy where C is the straight line path from (2, 3) to (5, 5). Jc…

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Q: 2. Express in radical form the length of the line segment joining the points whose coordinates are…

A: In a right triangle, the lengths of the sides of the triangle are related to each other by the…

Q: How find the pistance from fant (1,3) and Line y -4

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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

Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

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Q: Evaluate the line integral 4ydx + 2xdy where C is the straight line path from (4, 2) to (8, 4).…

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Q: has slope 0. O True O False

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Q: Suppose P = (0, – 1, 6) and PQ = (9, 2, – 4). and ( Enter an integer or decimal number (more.] Two…

A: Find the point Q using the vector PQ and point P.

Q: 44. Select the pair of lines that are parallel. O 5x – 2y = -1 y = 4x – 1 4x – 6y = 6 2x – 3y = -6 -…

A: two parallel lines is of the form  ax+by=c and ax+by=d where a,b,c,d are constants

Q: What is the image of (-2, 6) after a reflection over the line y :

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Q: olit he giren puints A and Bi and find he slype of the otr yht hoie clebermined by Hen d aper…

A: Given points are, A1,2B2,-1 The formula for finding the slope of the straight line is, m=y2-y1x2-x1

Q: x^2+2y^2=9 tl to the line x+3y=7

A: Given: x2+2y2=9To the line x+3y=7

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

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Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

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Q: 6. If, as x-- or as x- 0, the values of R(x) approach some fixed number L, then the line y = L is of…

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Q: Find K so that the line through( 1, 5 )and( K, 8) is a) parallel to 4y -3X =7 and b) perpendicular…

A: compute the equation of a line joining (1,5) and (k,8) by using below formula.

Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: Find k so that the line through (-3,5) and (k,8) is a) parallel to 5y-3x 8; b) perpendicular to 3y +…

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Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: Find the points on the graph of circle defined as (x – 1)2 + (y + 3)2 = 16 where the normal line is…

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Q: Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…

A: Consider that x is the independent variable and y is the dependent variable. The size of the…

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

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…

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Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: Find the slope of the line through each pair of points. 6) (-5, 16), (-5, 3) 7) (-10, 1), (13, -19)…

A: We have to find the slope from the given points

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: Determine the new order pairs if the points are reflected across the y- axis. J(2, 2), K(7, 4), L(9,…

A: Given- J2,2,K7,4,L9,-2 and M3,-1 To determine-  The new order pairs if the points are the reflected…

Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: 3- The tangont line to the cutve af the point (3,h)

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Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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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…

Q: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

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

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

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Q: 5OIve the linead cquation + xe %3D

A: Lagrange's Linear Equation. A partial differential equation of the form Pp+Qq=R where P, Q, R are…

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

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

Q: show.. that. the line in.which. and. .5Xm2y.Z==.0. jntersect..is

A: Equation of the plane: - In three-dimensional space, a plane surface is represented by an equation…

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

A: We know that,       . Now,

Q: Compute the length of the curve r(t) (-6t, 4t + 4, –5t – 3) over the interval 0 <t < 7. (Use…

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Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.

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Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: Find the distance between the points given. (1, 2)аnd (13, 7) (8, 15)and (-7, 23) (-15,–18)and (3,…

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: 23. Find the shortest distance between the following lines. 9 y – 9 - l1 : -14 -1 3 4 y +2 l2: 8. z…

A: Given: The lines are: l1: x-9-14=y-9-1=z3    -1l2: x-48=y+24=z-10  -2 Let P and Q be two points on…

Q: Find the dis tance from the Point (2,5) and the line 2y=6x-1

A: Given : To determine the distance of the point 2,5 and the line 2y = 6x-1