Find the length of the curve. The line segment r= 6 sec(8),0 <0s A) 3(V2 + In(v/2+ 1)) B) 6 In tan D) 6

Q: Consider the curve C parametrized by (x, y) = (3 cos (-10t), 3 sin(-10t)), for –x/2sts a/2 Then C is…

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Q: Find the length of the curve r = cos(f) + sin(0), 0sOs

A: The objective is to find the length of the curve.

Q: Consider the curve: (=Ce"cos(-4t ),e*sin(-4+),e* Compite the are length functien SH): (with intial…

A: Given the curve :    f = ( e^-t cos (-4t) , e^-t sin (-4t) , e^-t) We have to compute the arc length…

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 4)³, P(1, 5), Q(8, 8) %D

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Q: Find the length of the curve over the given interval. r = 4 sin θ, [0, π]

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Q: Assume that the two points (x1 y1) and (x2.y2) lie on the graph of the straight line y = mx + b. Use…

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 8)3,  P(1, 9),  Q(8, 12)

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Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: Find the length of arc of the curve y = In r from r = 3 to r= 9. 8

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Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

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Q: The arc length of the curve y=3-4x2, where 0<x<1is [1-37/37] O 54 /37-1] 54 1-/37] O, 54 4 137/37-1]

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Q: Find the length of the arc of x²+y²=64 from x=-1 to x=-3, in the second quadrant.

A: Given curve: x2+y2=64

Q: A ski run follows the curve of y = 0.01x - 0.6x + 9 from x = 0 m to x = 30 m What is the angle…

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Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: Set up an intergral for the length of the curve, 04X y%3DZE* sin cx), O4 XE

A: Explanation of the answer is as follows

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 4)3,  P(1, 5),  Q(27,…

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Q: Find the exact length of the curve. x = 7 cos(t) – cos(7t), y = 7 sin(t) – sin(7t),

A: given : formula for arc length is as below :

Q: Construct two circles with radius Icm and 2cm respectively and centers 4cm apart, make two arcs with…

A: draw on paper 2 circles and their corresponding tangents according to the problem in the question.…

Q: Find the angle between the radius vector to the curve r = 2a sin 3u and its tangent when u = pai/6.

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Q: Find an interval of t-values such that c(t) = (cost,sin t) tracesthe lower half of the unit circle.

A: Consider the given point as ct=cost,sint

Q: Suppose an arc of length s lies on the unit circle x + y = 1, starting at the point (1,0) and…

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 12)°, P(1, 13), Q(27, 21)

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Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: Use the arc length formula to find the length of the line segment y = 2-4x, 0<x<2. The length of the…

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Q: Use the arc length formula to find the length of the curve y = 2-3x, -2 is less than or equal to x…

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Q: ppose an arc of length s lies on the unit circle x^2+y^2=1, starting at t

A: It is given that, an arc of length s lies on the unit circle x2+y2=1starting at the point​ (1,0) and…

Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: The arc length of the portion of the curve y =e* with 3 <x<5 is

A: Arc length formula for a curve a≤x≤b for f(x)=y is given by, L=∫ab1+dydx2 dx

Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

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Q: In the figure, line segment AB is tangent to the circle at point T while line segment CD is a secant…

A: Segment AB touch circle at point T so the AB is tangent to circle.  And segment CD cuts circle at…

Q: For a horizontal circular curve with a radius of 500 feet, calculate the degree of curve (D) using…

A: Given: Radius, R=500  ft

Q: Find the length of the arc of the curve x2 = (y − 2)3 from P(1, 3) to Q(8, 6).

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Q: A line OP through origin U is inclined at 30 which it is inclined to OZ.

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Q: In which direction is the curve x = -2 sin t, y = 2 cos t, for 0 ≤ t &lt; 2π, generated?

A: x = -2 sin t, y = 2 cos t Table for values of x and y: t x y 0 0 2 π 0 -2 π2 2 0 2π 0 2

Q: Consider a semicircle of radius 1. Let l be the line segment from one endpoint of the semicircle to…

A: Consider a semicircle of radius 1. Let l be the line segment from one endpointof the semicircle to…

Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100,…

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Q: 1. y = 1 - x; A(1,0), B(8,-3)

A: According to the company rule, we can answer only the first question and rest can be reposted

Q: What is the arc measure of minor arc BC in degrees? (20y – 11)° (4y + 6)° (7y-7)

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Q: O Find the length of arc of the curve y = from (0,0) to (4, ). %3D

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Q: Use the arc length formula to find the length of the curve y = 4x – 5, -1 < x < 3. Check your answer…

A: The arc length of the function y(x) over the interval a ≤x≤b is determined by the formula,

Q: . Evaluate the length of the curve, y = x/2, from x = 0 to x = 4. %3D

A: first step differentiate w.r.t to x

Q: ind the the exact length x = et – t, y = 4e/2, |

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Q: Find the linear measure of arc SR on OP, where PR= 27 and angle RPS=101. Use 3.14 for pie and…

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Q: gments ST and SU are both tangent to circle V. If mZTVS = 74°, what is mzTSV? *

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Q: In the diagram below, XY is tangent to OCat point P. What is m2CPX? Explain.

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Q: Consider the curve y = – In|cos(x)| as x travels from T to 6 a) Find the length of the curve.

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: Find the length of the arc of the curve from point P to point Q. y = 1/2x2,  P (−7, 49/2),  Q (7,…

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