Evaluate                   Cx-ydx+y-zdy+xdz          where C is the curve from (1, -2, 3) to (-4, 5, 2) if  C consists of three line segments, the first parallel to the z-axis, the second parallel to the x-axis and the third parallel to the y-axis C is the line segment

Q: Evaluate ∫_C▒〖(x-y)dx+(y-z)dy+xdz〗 where C is the curve from (1,-2,3) to (-4,5,2) if C consists of…

A: Given integral is: ∫Cx-ydx+y-zdy+xdz Where C consists of three line segments.  Let the C be divided…

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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Q: Let L7 be the line passing through the points Q=(-5, 4, 4) and Q2=(-6, 2, 2). Find a value so the…

A: We will solve the problem

Q: Suppose that L1 is the line through point (1, 2, 3) with direction vector [2 ,- 3 ,0]t. And suppose…

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Q: Find the distance, to the nearest hundredth, between the given points. P1(3, 7) and P2(5, 1) Find…

A: Given : P13,7 and P25,1

Q: the valu e of x which WTLL PULH containing the poidts (x, 5) 9nd (-2,3) paraliel make the line line…

A: The slope of the line containing the points (x,5) and (-2,3) is = (5-3)/(x+2) = 2/(x+2) And, the…

Q: d. The curve y= In x , y-axis, the lines y 0 and y 4.

A: Given, We have to find area of region bounded by  y = lnx ; y axis ; y =0 and y = 4.

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Find the curve in the xy-plane that has a slope at each point given by 1 and passes through the…

A: See attached file for a step by step explanation.

Q: Evaluate the length of the curve x = 5 - y+1,0<y<3

A: Given, x=5-y+1 ,     0≤y≤3

Q: Show that the locus of the point whose distance from y-axis is thrice it's distance from (1,2,-1) is…

A: The equation of the ellipse is 8x2+9y2+8z2+18x-36y+18z+54=0 The locus of the point whose distance…

Q: 3-Find the coordinates of the point on the line y= 3x+i. that is equidistance from (0,0) and (-3,4)…

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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: Find distance the poinl- the between Cziz16) f * +y=0, J - Z =1 the line

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: consists of y = 4-x and straight line from (-2,0) to (2,0). Sketch the curve C. 64 ans: 3

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

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

Q: Find the distance from the point (1, 2, 3) to the line x=0,y=2+5t,z=3+5t

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Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: Consider the line which passes through the point P(-5, -5, -4), and which is parallel to the line x…

A: The vector equation of the line is given by: x = 1+5ty = 2+7tz = 3+1tr→= 123+t571So the line is in…

Q: The line that is normal to the curve x2 + xy - 2y? = 0 at (3,3) intersects the curve at what other…

A:

Q: The line through the point (0, 14, – 10) and parallel to the line x= -1 + 21, y = 6 – 31, z = 3 + 9t…

A: If the line is parallel to the line x = -1 + 2t; y=6 -3t and z=3 + 9t, then the line is parallel to…

Q: 99. Find the point of inflection of the curve y=(9x^2-x^3+6)/6. a. 3,10 b. 2,8 с. 3,8 d. 2,10 100.…

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Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

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Q: The x y-coordinate plane is given. The curve begins at the point (−12, 0), goes up and right…

A: To draw the graph specifying the given directions and coordinates.

Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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Q: Find the distance from the point (4, 4, 3) to the line x=0 ,y=4+t ,z=3+4t

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Q: Find an ewuation for the line with the given properties. Express answer in general form or slope…

A: Recall: Point- slope intercept form : (y-y1)=m(x-x1) ; where 'm' is the slope and (x1,y1) given…

Q: Find general point for the lines The line through (0, -7, 0) perpendicular to the plane x + 2y + 2z…

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Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: a. The curve y=4x-x and the lines y=0, x=1 and x=3.

A: Due to our guidelines we can answer only one question at a time, therefore I am answering first…

Q: Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every…

A: integration

Q: 3- Find the length of the curves in Exercises 1-4. X = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

A:

Q: find the distance from the point to the line (2, 2, 0); x = -t, y = t, z = -1 + t

A: Given information: The point to the line is (2, 2, 0) and x = -t, y = t, z = -1 + t. Calculation:…

Q: 1 y == (x² + 4)°%2 ,0 sxS 2 (x2 + 4)°/2 ,0<x< 2 6. deur die berekening van die volgende bej…

A: The given function y is - y = 16x2+432     ........(1)Formula for calcualting the lenght of a curve…

Q: Let L7 be the line passing through the points Qz=(-1, -3, –3) and Q2=(3, -1, 1). Find a value of k…

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Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p…

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

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Q: (2) find the (x,y) coordinates of all points of intersection ot the curves.

A: b.(2) Given the polar equation of two cardioids r=1+sinθ,r=1-cosθ. To find the points of…

Q: What are the coordinates of the points in the graph of y? - r + 6z – 13 = 0 in which the tangent…

A: Tangent is horizontal at that point where derivative of function of zero

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: Which of the following straight lines are tangent to the curve y = x³ + 4x2 + 7x and passes through…

A: Topic = Geometry  y=7x ia the tangent to the curve.

Q: Find the length of the curve X = + 4 from y = 1 to y = 3.

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.