ye ds; C is the path r(t) = (2t, 31, -6t), for 0 st s 2.

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: Calculate the length of the path over the given interval. c(t) = (3t2, 4t*), 1<t< 4

A:

Q: Let C C R? be the path from (3, –2) to (3, 2) along the graph of the curve x – 5x?y? – 7x2 = 0.…

A:

Q: Write the coordinates of the vertices after a reflection across the line x = 2. F E D -10 10 10 D(3,…

A:

Q: use Eq. (3) to find the length of the path over the given interval. (3t + 1, 9 − 4t), 0 ≤ t ≤ 2

A: We have to find the length of the curve 3t+1,9-4t ,0≤t≤2

Q: Use the figure at right. CA 3 AN CB BL -3, m and Suppose F AM 2 NB (a) Are the lines AL, CN, and BM…

A: given CBBL=3CAAM=32ANNB=32  CONCURRENT LINES: two or more  lines in a plane or space are called to…

Q: Suppose (p o) is the point on the graph of V closest to (1, 0) - What is the value of p+O? y=Vx 3…

A: Basic derivative problem

Q: Consider the path r(t) = (4t,2t 2 ,2lnt) defined for t > 0. Find the length of the curve between the…

A: Given the path r(t) = (4t, 2t2, 2ln t), t&gt;0. Find the length of the curve (4, 2, 0) and (20, 50,…

Q: Determine the direction of the binormal of the path described by the particle of Prob. 11.96 when…

A:

Q: Calculate the length of the path over the given interval. c(t) = (9t + 1,9 – 9t), 0 <t < 2

A:

Q: Sketch and identify the path traced by the point P(x, y) if x = 1+. y =1- t> 0.

A:

Q: Q4) Compute f z'dz, where C is the path formed by the line segment from -3 to 3 and the semicircle…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Given the lines li and le: li8a = 1+も」 y = -2 -t, z = 3 -2t, l2: 2-2 y+ 1 3-Z - 3 skewed. 1) S how…

A:

Q: We can derive an equation for the trajectory's shape in terms of x and y by eliminating t. From Eqs.…

A:

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: Suppose that these two lines are the paths of two particles. If t and s measure ime in seconds, and…

A: We have given the equations of two lines : l1 : x,y,z=2+2t,8+t,10+3t l2 : x,y,z=5+s,12-2s,17-s…

Q: use Eq. (3) to find the length of the path over the given interval.  (1 + 2t, 2 + 4t), 1 ≤ t ≤ 4

A: Given  x, y=1+2t,  2+4t where dxdt=2, dydt=4 a 1≤t≤4.

Q: Calculate the length of the path over the given interval. (4t2, 8t² – 1), 0 <t<4

A:

Q: At 9:00 Am, ship B is 65km due east of another ship A. Ship B is then sailing due west at 10km/h and…

A: Let the distance between the ships after t hours is x km.   so, in t hours the distance traveled by…

Q: B. H. If BF || DG and BF 1 BD, then BD [?] DG. to neither, they are skew lines

A: The solution is given below in the next step:@

Q: Show that the lines of equations x=−1+t , y=−2+t, z=3t for t∈R and x=5+s, y=−8+2s, z=7s for ?∈ℝ are…

A:

Q: Ć be the Shortest Path that connects t to TTL and I - Je Casah z 4) dZz. Fhen I-o?

A:

Q: Sc 7ydx + 3z dy where C is the straight line path from (2, 4) to (4, 7).

A: The parametric equation of the straight line between the points (a,b), (c,d) is x-ac-a=y-bd-b=t,…

Q: Consider the skew lines: rị(s) = (s+1, –2s+2, –s+3) r2(t) = (-t, 2t, 3t +2) Find the distance…

A:

Q: If b = C+ Dt is the best straight line that fits the points (-2,5), (-1,4), (1,3), and (2,2) then O…

A: Tabulate the given ordered pairs as follows, x y -2 5 -1 4 1 3 2 2 The formula for the…

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: find the arclength of the path (P- 1.-2) for 0<t< 4

A:

Q: Consider two paths, Y1 (t) = t(1+i) –-1 and 2(t) = 2+ i(2+t). %3D Do the two path intersect? If they…

A: Point of intersection means the point at which two curves intersect

Q: Evaluate (0₂2). [(x² + y² ]ds along the path C, defined as counterclockwise along the circle x² + y²…

A:

Q: Sketch the following path and compute its length (i+t(-1-i), -1- i(t - 1), -1+eit-2)-1, te (2,3], te…

A:

Q: Determine whether the work done along the path C is positive, negative, or zero. y

A: The work done along the path C is

Q: Calculate the length of the path over the given interval. (4t², 8t² – 1), 0 <t< 4 |

A:

Q: The equations [2, 1, 6] + t[6, 1, 4] and [4, 1, 3] + s[2, 10, 9] Are parallel Intersect at one point…

A: Topic = Lines Given lines are skew lines.

Q: 3e) if c is any Simple Closed Curve, evaluate f dz, if ü7is out side (ii) 7 is in side

A: We will solve it by Cauchy Residue Theorem ∫f(z) dz = 2πi×R where R is the Residue of the…

Q: -> For the two lines; ri(t) = [2,4, 3] + t(0,0, 2] and r2 (s) = [5, –1,0] + s[0, –3, 0], the…

A:

Q: Evaluate I = ,(sin x + 2y) dx + (5x + y) dy for the nonclosed path ABCD in the figure. C A = (0,0),…

A: We will split the total integral into three paths I.e. along AB,BC,CD  Then we will evalute three…

Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0)

Q: use Eq. (3) to find the length of the path over the given interval. (3t2, 4t3), 1≤ t ≤ 4

A:

Q: Evaluate ds, where C is the path defined by c(t) = (t², 9t, 4t³3/2) where 0 <t < 2.

A: Given integral c z^2/x ds, C(t) =(t^2, 9t, 4t^3/2)  where 0&lt;= t&lt;=2

Q: Which of the following lines is perpendicular to the equa y=-2x + 8 Ox+2y = 8 O x- 2y = 6 O 2x-y = 1…

A: Perpendicular line

Q: Compute fs(-y + ye®Y)dx + (x + xe®Y)dy, where S is the path: start at (0,0) and then go right 5…

A: Consider the provided question, According the given statement the path S is shown in the figure…

Q: Show that the lines with symmetric equations L1 : = = and L2 : 팡!%3D 부 =D 촬 %3D y-3 are skew.

A:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

A:

Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

A:

Q: of The Path modeled by - 4/1/4ײ +24 2 Jon the V diver is 9 19 x OT C + S S

A:

Q: Luna calculates d, and also the distance d, from the point E to the line through D and F and notices…

A:

Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…

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: If this trapezoid is moved through the translation (x+1, y-3), what will the coordinates of D' be? B…

A: