Let C denote the curve of intersection between x

Q: y (x+1)²

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Q: r = 3sin(Ɵ) Draw the curve, explaining it down to the smallest detail.

A: Given equation is r=3sinθ We have to draw the curve of r=3sinθ. First of all convert the given polar…

Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

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Q: Find the length of the curve. x = y^2/3, 1 … y … 8

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Q: Find the point of inflection of the curve 6x – x' +5 y = 7 b. (2, 4) d. (3, 1) а. (0, 1) с. (2, 3)

A: Inflation point of a curve is a point on the curve at which concavity of the curve changes means it…

Q: Find the exact length of the curve. x = 9 + 6t2, y = 4 + 4t3,

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Q: The length of the latus rectum of the curve x² – 12y = 0 is -12 -3 Option Option 2 12| 3.

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Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

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

A: Given, x=5-y+1 ,     0≤y≤3

Q: The a coordinate of the point of intersection between the two curves y = ellz and y= 1 is x =

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Q: Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

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Q: Find the length of the curve x y? – 2y, 0< y < 2.

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Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t, 0 sts 4

A: Answer is mentioned below

Q: F. dr. (Check the orientation of the curve before applying the theorem.)

A: Given,          F(x, y)=e-x+y2, e-y+x2 and C consists of the arc of the curve y = cos(x) from -π2, 0…

Q: / Fit a curve of the form y = ax + bx² to the data

A: Given,    x 1 2 3 4 5 y 1.8 5.1 8.9 14.1 19.8 To find             y=ax+bx2…

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY Y^2 =x^2+5x−4/x−5

A: We are given the curve: y2=x2+5x-4x-5 Sketching the curve , we have :

Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: (x – 2)2 + y² = c² %3D

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Q: Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t<2

A: Given data:     The first parametric equation is: x=3t2. The second parametric equation is: y=2t3.…

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

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Q: Find the exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

Q: Find the exact length of the curve. x = 8 + 12t2, y = 9 + 8t³, 0 st< 3

A: given parametric equation of curvex = 8+12t2 ,   y = a+8t3

Q: a) Sketch (hand drawn) the intersection of y? + z² = 25 and x = 3 in 3D. b) Also, describe the the…

A: When two surfaces intersect each other, a new curve is formed. The curve is referred to as the curve…

Q: Find the midpoint between the two points A

A: To calculate the mid point,   X coordinate of the mid point is the half of sum of x coordinates of…

Q: Find the length of the curve 24ry = y' + 48, 2 <y<4 Select one:

A: We have to find the length of the given curve   the given curve is 2xy=y4+48the given interval…

Q: Find the exact length of the curve. x = 1 + 3t2, y = 9 + 2t, 0sts 4

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Q: Sketch the following curves. 33. y = 2x + 3x2 + 1 %3D

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Q: Write a parameterization for the curve in the xy-plane that is a vertical line through the point…

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Q: Evaluate (2 - xy) ds where C is the curve given below. -2 -1 -2

A: Given   ∫C2-xyds Curve C

Q: Providing a proper explanation, trace the curves: (1) a?a = y°(2a - y), where a > 0,

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Q: (b) Show that the origin is a node, cusp or an isolated point on the curve y? = ax? + bx3 according…

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Q: nath A = 30, B = 20, C = 11, D = 22. 3. Discuss how to evaluate Z enclosing the origin. dz, where C…

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Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

Q: Which line is tanget to the curve g + v = 50? 4

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Q: The curves x=y²and x = 2 y – y?

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: Determine the length of the curve y = x +x in the interval 1 <a <2. %3D 59 24 O 2.86 O 3.01 127 50

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Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

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Q: 3 4. Find the length of the curve y = 7(6+x) 2 from x = 189 to x = 875. Submission status

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Q: Find the length of the curve r

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Q: (h) Write the conditions for a curve y = f(x) to be concave upwards and downwards.

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Q: Find the exact length or the curve 2.

A: The given curve C is as shown on the white board. Length, L is given by the standard formula shown…

Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: The length of the curve z=z(t)=5e", Ostsa is а) 12л b) л c) 157 d) 2

A: Sol :-                Are length in (a,b) if functions are                               x(t) , and…

Q: Find the exact length of the curve. x = 1 + 12t2, y = 4 + 8t3, 0 sts 3

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Q: a) Find the point of intersection of the curves y = x and y = 2 – x.

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Q: Trace the curve r

A: we have to trace the curve r=12sinθcos3θ

Q: Evaluate and C₂ dz where C is the closed contour shown in the figure below. (Hint: Express C as the…

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