|-4 Let y =||-3 and u =||-4 7 Compute the distance d from y to the line through u and the origin. d =| 2.

Q: a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1. b Given that -1 < m < 1, find the…

A: Given,y = mx + cFor m &gt; 1Take  m = 2 &gt; 1,

Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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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: y = vx , x = 4,y = 0 about the line x = 4. %3D

A: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: 2. Let j = Find the point on the line y x that is closest to j. %3D %3D 26

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Q: I(v - x)dz + (y – z)dz over the line segment C from P: (1, 1, 1) to Q : (2, 4, 8). Select one: а.-12…

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Q: Which of the following gives the length of the curve y x2 + 2x from x = 0 to x = 5 ? (x2 + 2x) dæ I…

A: Length of the given curve will be

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: If y = In(x – y) then y' at the point where y = 0 is equal to :Select one 1 .a 2.b 글, -1 .C -2 .d

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Q: 4/2 -1 for [0, 2]. Q.7 Find the length of the curve y = 3

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

Q: Consider the relation between r and y defined by the equation r4/3+y4/3 = 10. Find the r-intercept…

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Q: Which of the following statements are true for the curve Vr + Vy = 6 ? I. The line tangent to the…

A: We have to find answer

Q: | Find fe(x² + y)i + 4y' j) dr where C consists of the three line segments from (4, 0, 0) to (4, 5,…

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Q: [x = t - 1 Q.1 Verify that the lines L₁ y=1-t lz=1-t and find the distance between them. and [x = 2t…

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Q: 2. Let c be the line from 5 to 2 + 3i. Find i. S. zdz ii. S. ždz

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Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

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Q: 6a. Find . F dr, where F(x, y) = , and C consists of the circle x' + y = 4 from (2,0) to (v2, v2)…

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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: E. If y = r – 2r and = -3, find when z = 4. Note that, in this case, both r- and y- variables depend…

A: The given equation is, y=x3-2x and dxdt=-3 To find dydt, when x=4

Q: 1. XY is the same as YX. 2. XY is the same as YX. 3. HAB and AC are opposite rays, then they are…

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Find the point at which the line f(r) = -z+1intersects the line g(z) = 4x +1 %3D

A: At point of intersection both the functions will have the same value therefore f = g

Q: v(e -Y cos x) • dr, where C is the line from (0,0) to (2x, kn 7)

A: The fundamental theorem of line integral, also known as gradient theorem states that suppose a curve…

Q: 2. Which of the following is the domain of y sec(x)? %3D A. [-1,1] B. R- (n+ 1) C. IR D. [-1,0}

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Q: (A) Evaluate" [(x² + y)dx + (x+1+d along the path ABCA shown in figure C(0,3) A(0,1) x=3sint y=3cost…

A: What is Line Integral: When we integrate a function along a straight line or a curve inspite of…

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |…

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121…

Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

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Q: a find theistance fron. the Point P(2,17 to the Line yzメ+22L

A: Line :- x+2-y=0  Point (2,1)

Q: If F(x,y) = 3y. i+5x-j, find SF . •dr where Cis the straight-line path from (0,0) to (1,0), to (0,1)…

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Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

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Q: Find the the point on the line l: +t 0 | closest to the point P(3, 2, –2). ||

A: The given line is                             l: xyz=101+t00-1 and a point         P(3,2,-2)

Q: For curve r = (t, t2,t-³) %3D Does this curve go through the point (-1, 1, -1)?

A: We have to find if the given curve passes through the point (-1,1,-1).

Q: 2 Ex3/2 between x = 0 and x = 1 is 3 %3D %3D The length of the curve y

A: Introduction :

Q: 5) s how that the line of intersection f the Plas and 5x-2y-Z=0 is Parrliel to theline X+2y-22= 5…

A: Given that plane  ,P1:x+2y-2z=5plane , p2:5x-2y-z=0line ,l:x+32=y3=z-14Normal of P1  ,…

Q: graph

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Q: Find ((x? + 4y)i + 4y j) · dr where C consists of the three line segments from (3,0, 0) to (3, 5,0)…

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Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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Q: 2- Find the value of x which make the line containing CO the Points Cx, 5) and (-2,3). Parallel to…

A: Given condition is that both line are parallel , hence slope of both line are equalslope of line(m)…

Q: 3. Evaluate (2ry - )+(r +2:)7+(2y- 2r2)k) - dr, where C is a simple curve from (-3,-2,-1) to (1, 2,…

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Q: Which of the following lines pass through the point (7, 5) and is perpendicular to the line X + 3y =…

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Q: Find Line in the plane of the points the PCO 10,0) ,Q (e,2,0) and R Coul,-d thal- passes through Q f…

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Q: Q3: Let L: x-2+3t, y 2t-1, z-4t and M: x+2y+z-11, and let (p) be thus point of intersection. Find…

A: given line is                                                         L1: x=2+3t, y=2t-1, z=4tM:…

Q: AY 6. Find the length of the interval AB. eB AB =| (1d.p.) + -4 6 х A.... -3-

A: Let's find.

Q: x = 7- 2t Which of the following lines is parallel to L: L : y = + t z = 4 + t x = 2+4t L{y= - 1+ 2t…

A: Here we will find the parallel line,

Q: Q3: Let L;: x-2+33t, y 2t-1, z-4t and M: x+2y+z-11, and let (p) be thus point of intersection. Find…

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Q: The graph of fo- is concave down on interval (-1,1) A (0,1) B (-0,0)U(2,00) .C (-x,-1)U(1,00) .D

A: The intervals where f(x) is concave down, the tangents drawn on the curve lie above the curve.

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: S. 3 z dz where C is straight line segment from i to -2 - 3i

A: We put z=x+iy And dz=dx+idy