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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: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

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

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: ) Find the fomily of the equ ation of all lines in 3-space perpen diuler to 2x -y +2u u Given line

A: Family of lines contains parameters.

Q: Ex:O calkulate the gui for the distance formuld in a barred coordinate system defined by R = Ax,…

A: Given  that the matrix, A = 1-223 Let X = abcd So, that  X¯ = AX = 1-223·abcd               =…

Q: I Find for each of the following. keving your anwer in terms of the parameter . 2r, y- 2

A: We have to find dydx for the following...

Q: here is astraight line Pasrsing through the Points ACI, o, -1). BCo.1.0),c(-1,2,1) true

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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: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

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Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

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

A: Given line is                                                       l:1, -1, 1+t0, 2, 1 vector…

Q: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise, then dz = 2 Ti…

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Q: Use rhombus JKLM 13. If NK = 7 and KL = 15, find NL. for 13 and 14. K

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Q: Identify the relations which are also functiuon: Ox = y? Ox+y= 1 O a? = y? %3D Oy = a?

A: X+Y =1  This relation is also a function because for every x there is an unique image, y. X^2=Y^2…

Q: Suppose n is an integer and z-z3D =r is a contour traversed n dz %3D once in counter clockwise, then…

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Q: Let R= (1,5). Calculate the length of OR. %3D

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Q: Find an eauation for thne perpendicalor bisector of the line seament whoac endpoints are (3,-1) and

A: • The perpendicular bisector of a line segment is a line which is perpendicular to the line segment…

Q: Evaluate 3 x² – 2y ds where C is the line segment from (3,6)to(1,–1)is Non of the above 57.991 O…

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Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: If l,, l2, and l3 are nonconcurrent lines, prove that there exist three points. Exactly one each…

A: Three or more points are said Lto be collinear if they all lie on the same straight line If l1 , l2…

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: Shaw that if Pu: R"> R^ is a onto a line and VER then; prejeetion

A: Given : Pu :ℝn→ℝn is a projection onto a line and v∈ℝn To show : ∥Puv∥≤∥v∥

Q: (c) A line in R² not through the origin ax + by sC #0 then &H. :, t is not a ad Umecepsang but…

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Q: P(5,3) Sinh (폼+북) x +1oydy (6xdx +10ydy 5 C0,0)

A: To show: The line integral is independent of the path. Given integral:…

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: There are infinitely many secant lines from an exterior point to a circle. True or False? O True O…

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Q: 12. If NQ bisects ZRNP, then 2QNP 13. If RN bisects ZSRP and m2=55, then mZ1=

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Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

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: 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: determine wether 2) is analytic ornot. Z=1+31

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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: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: 13. XPOQY and AOB are straight lines. PO =0Q and 21 = L2. Prove that ZA = ZB. B. A

A: That's easy. Have a great day!!!

Q: Find the condition for the two lines to be coplanar. a1 + bjx + C7x + d, =0 = az + b2x + C2x + d2 az…

A: The given lines are    a1 +b1x+c1x+d1=0a2+b2x+c2x+d2=0a3+b3x+c3x+d3=0a4+b4x+c4x+d4=0  To examine…

Q: prove with a table if x → y then xor y xor y = y

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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: let he Kegneion Iihe equibuon is y=3X+ lo and Ncoif I=65 Find the Kegrodli on Eg vubion line x

A: In this question, we find the regression line x on y from the given line y on x.

Q: 2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

A: Given: c is a line segment joining 1, 1, 1 and 3, 2, 0. To evaluate: ∫cyzdx+xzdy+xydz

Q: prove that line 1 is parallel to line 2. Prove: L1 || L2 4 3. 2.

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Q: In the 0 are parel line bisects LAEG.Tf M<CGE = T2 Of CA EF diagram below lines ATB cand then what…

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Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.

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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: 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…

A: The vector form of the equation of a line L in R2 or R3 isx = p+tdwhere p is a specific point on L…

Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.