Colleu late the curved integrad: ( (yds +3ady), when the curve Cis: a) The streight section starting with the point AlsevE;ItE) and end the point The part of the Circde lx-)}a (ya1)"=4, starting with the point A/12,-1-7) ord end the point B(I-2, 1+?) and canter - clockwise orientation. +T- Is the curved integ ael independent of the Comple tion path?

Q: Evaluate S, y? – x ds for each of the following curves. a) C = c, is the line segment from (-5, -3)…

A: Line integral  L=∫Cf(x,y)ds If curve C is defined by x=f(t) and y=g(t) then ds=dxdt2+dydt2dt

Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

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Q: Find the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4),…

A: We have to find co-ordinate after translating 6 units up and 2 units left

Q: What is the center (in rectangular coordinates) of the circler= -3 sin 0 ? (0, - ) 3 0, O (0, v3)…

A: The given circle, r=-3 sin θ

Q: Determine whether line segment AB is tangent to the circle. If yes, choose the equation that proves…

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Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

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Q: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: Find the distance between the points (1,3) and (0,1) Plz step by step And can you plz explain the…

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Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: At what point does line AB in attached figure intercept y-axis? a) (0,5) b) (0,5/2) c) (0,3) d)…

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Q: Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the…

A: The answer is given below:

Q: Prove that the locus of the point of intersection of two tangents to the parabola y? = 4ax, which…

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Q: How do I verify that these points for a right triangle (4,0),(2,1),(-1,-5)

A: Given a triangle with points  A=(4,0) , B=(2,1) and C=(-1,-5)

Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

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Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: 1. Find the distance between points P and Q. P(9,3), Q(4,6) a) d = v117 b) d = v34 c) d = 2v10 d) d…

A: "Since you have asked multiple questions, we will solve the first two questions for you. If you want…

Q: 9) (3, 1), (-1, -6) 10) (-3, 6), (-1,-6)

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Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: Find the parametric equation and sketch each curve. Include the domain a) A curve starting a t…

A: The objective is to determine the parametric equation and sketch each curve. [Including the…

Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

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Q: Find equations of the lines passing through the origin that are tangent to a circle with radius 2…

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Q: Fina the are a bounded ナトe fo llo Wing Curves 16-X2.こ0メニ メ33

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Q: Cannot solve

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Q: Find the equation of the shortest curve that describes the distance between the two points A(x₁, y₁)…

A: Two points :A and B

Q: What about the part where it has to be part of the curve r= sqrt(2cos(2theta))?

A: As per the question to evaluate the volume of a cylinder with specific geometric properties, we can…