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

Q: Evaluate the following line integral.

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Q: Evaluate 3- 2y ds where Cis the line segment from (3,6)to(1, –1)ts -58.240 58.240 -57.991 Non of the…

A: Let us consider the line integral I=∫cf(x,y)ds  The integral will be converted to…

Q: Which of the following equation of the line is perpendicular to 10x + 6y = O 3x + 5y + 7 = 0 O 5x -…

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Q: For what value of k is the line 2x + ky = 3 perpendicular to the line 4x + y = 1? For what value of…

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Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: O Find the shortest distance from (1, 2, 3) to the line x = 3+t, y = 1 – t, z = 6 - 2t.

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

Q: 7. Draw a perpendicular bisector for each of the lines below. A T. H.

A: Given the lines:

Q: al to the line given as :

A: Which of the following planes is normal to the line given as: x=2t+3, y=5t-7 , z=t-4

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

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Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

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Q: Determine B such that the line 3x +2y – 7 = 0 is perpendicular to 2х- Ву+2%3D0. O A. 5 О В.4 С. 3 O…

A: Let m1 and m2  be the slopes of the lines L1 and L 2 . If  L1 is perpendicular to L 2  then m1×m2 =…

Q: Evaluate 3x- 2y ds where C is the line segment from (3,6)to(1,-1)ts -58.240 58.240 O -57.991 O Non…

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

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Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

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Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

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Q: Evaluate 3 x2 - 2y ds where C is the line segment from (3,6)to(1,-1)is C Non of the above -58.240…

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Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

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

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Q: x = 5 +t, y = -1, z = 8+ 2t х — 2 у—2 2+1 3 -1 4

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Q: / ife refresents the Segment of the line from Z-2 toZ-zi Kt frave Withouet finding the Kilke of the…

A: In both parts we can use the formula ∫Cf(z)dz≤ML where M is the upper bound of |f ( z )| over C and…

Q: Let C be the line segment connecting 0 to ni. Then f 1- 22dz = | а. 0 b. -0.5 + ni C. πί d. None of…

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Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

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Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

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Q: Consider the line L(t)=(5,2t,5t-5) and the point P=(1,5,2). How far is P from the line L?

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Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

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Q: 2 1ど y+1 w that line

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Q: Let S(x, y) = x² + y² – 2x – 16y + 10 = 0 be a circle and L(x, y) = x – 5y + 10 = 0 be a line.

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Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

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Q: Y Find S Zdz Such that c is the line which joining A,B,C and D as follows A (o,1) yB (2,1) , C…

A: Here, firstly we have draw the line C with the given points. Then we have to find integration value…

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

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: So Find x²z ds, where C' is the line segment from C (0,-5,4) to (-6,-4,3)

A:

Q: Find the distance between lines x + 3y = 5 and x + 3y = 25.

A: The distance between two parallel lines can be calculated using the formula,

Q: Given that the line kx − y = 4 is perpendicular to the line kx + 9y = 11, find the value of k

A: Given query is to find the value of k.

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: Which of the following points does NOT lie on the line x + 3y = 10? %3D O (-4, 14/3) O (-2, 4) O (2,…

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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: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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Q: Consider the line L(t) = (1 – 5t, -1, 2t) and the point P = (-5, –4,-2). %3| How far is P from the…

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Q: Find Sc((x² + 3y)i + 3y³j) · dr' where C consists of the three line segments from (2, 0, 0) to (2,…

A: Given ∫x2+3yi→+3y3j→.dr→ where C consists of the three segments from (2,0,0) to (2,2,0) to (0,2,0)…

Q: Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

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Q: Which of the following lines bisects the line segment between (0,3) and (4,5) 5 x = -2y Dy = -2x 5 x…

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Q: Which of the following lines is perpendicular to y= -5x-2? O y = 1/5x + 1/5 O y = 5x - 1 O y = -5x +…

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Q: Find x² z ds, where C is the line segment from (0,5,-1) to (-3,5,2). Check Answer

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Q: Evaluate ydx + yedy + (y + 2)dz where C is the line segment from (1, 1, 3) to (4, 4, 6).

A: We find the integration of given function.