Evaluate |V(x? y + x y z?) . dr where C is the line segment from (1,- 1,0) to (2,1,3)

Q: Find fx and fy, and evaluate at the given point.

A: The given function is: fx, y=xyx-y and the point is 2, -2. To find the fx and fy, first…

Q: zdz where y is the straight line segment from 0 to 1+i is 1 0 i o -i O

A: to find the value of ∫γzdz let the straight line be y=x dy=dx let  z=x+iydz=dx+idydz=dx+idx where x…

Q: Evaluate F.dr where F(x, y) = xry i+e*j and C is the line segment from (2, 0) to (4, 0). а) 0 b) 2…

A: Line integral

Q: Let F = (y – x, ry) and let C be the line segment from (2, –3) to (1, –1). %3D Evaluate F. dr.

A: We wil first equation of parametric equation of line segment

Q: А Q(1, 1) в Q(2, 0) vyQ(1, y) 3xQ(x, 2)

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Q: Find the average value of f(x, y) over the plane region R.

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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: Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A.…

A: The mid-point formula of a line segment is, x,y=x1+x22,y1+y22 where x,y is mid-point of the line…

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

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: The line that passes through the points (2,0), (0,1) is x+2y = c, where c = 1. O True False

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Q: Evaluate (x+y)ds where C is the straight-line segment x = 2t, y = (8 – 2t), z = 0 from (0,8 C…

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Q: Find the locus of the points that are equidistant to the point F (0,2) and the line y=-2 ? x2=8y O…

A: GIVEN :- F(0,2) and line y=-2  To find :- Locus of the points that are equidistant to point F and…

Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: Evaluate (x+ y)ds where C is the straight-line segment x = 3t, y = (12 - 3t), z = 0 from (0,12,0) to…

A: We need to evaluate the integral along the given line. First eliminate the parameter t.

Q: Let f(x, y) = x2 – xy + y² – y. Find the directions u and the values of Duf(1, –1) for which Duf(1,…

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Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

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Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4х — 2у — 5 %3D 0 4x — Зу +9%3Dо…

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Q: Evaluate F.dr where F(x, y) =xry i+e*j and C is the line segment from (2, 0) to (4, 0). a) 0 b) 2 c)…

A: use parametrization of a line segment and formula for the line integral.

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

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Q: Find the locus of the points that are equidistant to the point F(0,2) and the line y =-2. A) y? = 4x…

A: We can find the answer as given below

Q: Find a parameterization, x = x(1), y = y(t), tE [0, 1], for the line segment from (2, -1) to (5, 5).

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Q: Find the real numbers x,y,z,t if -3x +y+ zt = 0 3x + y(t – 1) – z(t+ 1) = 0 3x +y+ zt =t+2 - 3x +…

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Q: C is the line segment from (-1,0, 3) to (1, 3, 4), and F(x, y, z) = zi+xj+yk, evaluate Jo F.dr.

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Q: a. In R?, let C be the line segment from (-1,2) to (0, 4), and let F = (x + 2,-xy). Evaluate S, F ·…

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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…

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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,…

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Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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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: 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: The area (in square units) between the curve defined by y = x³, the x-axis, and the lines x = -1 and…

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Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and…

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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: 2. For what value(s) of h, y belongs to Span {v1, v2, v3}? Where 5 -3 V2 = -4 V3 ,and y = 3 h

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Q: 2. Find for x? +x+ y? +2 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: Let F = xyi +x²zj + xyzk and let C be the line from (0,0,0) to (-2,1,1). Evaluate Sc F · dř.

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

A: We need to evaluate ∫C(x+y) ds. We are given that C is the straight line segment x=t, y=2-t, z=0…

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…

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Q: Determine all points P(x,y) such that PA = PB. A = (2,3) and B is on the line y=-3

A: solution:- A(2,3) B(0,-3)

Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: X. xy ds where C is the straight line from (2,3) to (4,0).

A: Given: The curve C is the straight line from 2,3 to 4,0, To find: The value of ∫Cxy2ds.

Q: r(2,4) Sa (2y+x) dx +(3x– y)dy} along the straight line x-2t and Evaluate J(0,3) y=P+3.

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Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as a…

Q: Evaluate (y – x)dz + (y – z)dz over the line segment C from P: (1, 1, 1) to Q : (2, 4, 8). Select…

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