10) Set up, but do not evaluate, an integral tor the Length the curve of dx

Q: Find Equatien of the tavgnt lin tu th cuve at tk giver pointe y= sec X ,

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Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

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Q: 1. Find the length of arc of the curve y: In r from r =3 to r = 9. 8

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Q: a)Find the arc length of f(x)= In(1+x°), Osx<5

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Q: 1. Find the length of arc of the curve y = () from the point where x = to the point where x = 2.

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Q: What does the arc length formula give for the length of the line y = x between x = 0 and x = a,…

A: line y = x between x = 0 and x = a

Q: Let f(x) = x³/2. Determine the length of the arc swept over x E la, b).

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Q: 1. Find the total length of the curve r = 4(1 - sin 0) from 0 = 90° to 8 = 270° and also the total…

A: The given problem is to find the total length and the perimeter of the given curve. Given curve…

Q: dr Let A be the area of a circle with radius r. If dt 5, dA when r = 1. dt find

A: A is area of circle of radius r A = πr2 Differentiate the equation with respect to t

Q: Find the length of an arc of the curve y = In x from x = 1 to x = 2v2. !3! O 2.1206 2.1026 2.1602…

A: We know that arc length of the curve f(x) from a to b is defined as Arc Length = ∫ab1+f'x2dx Given:…

Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four…

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Q: Let C be the arc of the circle Iz| = R from – R to R. Where R is a positive integer greater than 4.…

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Q: Find the length of are リ-Jx-2+ Sa'z) + Sin

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Q: a) Show that the length of the arc of the curve y=f(x) where S(x) = Insecx 0SxS is 4 In(1+ v2)

A: We need to show that the length of the arc of the curve y=f(x) where f(x)=ln(sec(x)), 0≤x≤π4. The…

Q: (a) Set up an integral for the length of the arc of the hyperbola xy = 1 from the point (1,1)  to…

A: Part (a)

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

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Q: Find the arc length of f(x) = () (x² + 2)z on the interval [0,9] %3D

A: (6) Given function is fx=13x2+232 and interval is 0,9. We have to find the arc length of fx=13x2+232…

Q: If the area enclosed by the curve x = 4 cos³ t and y = 4 sin t (wheret e R) is A then what is A?

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Q: Calculate the area of the circle r = 3 sin θ bounded by the rays θ = π/3 and θ = 2π/3.

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Q: dr Let A be the area of a circle with radius r. If dt 4, find dA when r = 3. dt

A: We are going to solve

Q: Find the arclength of r(t)= on the interval from t equals zero tot equals 2 times pi.

A: Given:  r(t)=&lt;5cot(t), 3 sin(t), 4 sin(t)&gt;To find:  Arc length form t=0 to t=2π

Q: i) Calculate length of the curve r(t) = acost î+ asint ĵ+ 4t k from (a,0,0) to (a,0,87).

A: As per our company guideline we are supposed to answer only one question kindly post remaining…

Q: 1. Use Green's Theorem to evaluate |F. dr, where F(r, y) = (3y- esin, 7x + Vy + 1) and C is the…

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Q: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

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Q: 4. Find the length of the arc C = {(x, y): y = V16 – x²?,0 < x < 3}.

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Q: 2) Find the length of the spiral: r = 0² from 0 = 0 to 0 = V5?

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Q: Let f(x) = x3/2. Determine the length of the arc swept over r E (a, b).

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Q: 2. Find the arc length of (x+5 y= over the closed interval [-1,4] .

A: Given curve is

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: Find the arc length of the curve on the interval [0, 2pi]. Hypocycloid perimeter: x=acos3(b),…

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Q: calculate the arc length over the given interval. y = x5/10+ x−3/6, [1, 2]

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Q: 2 Green's theorem, evaluate ((+) dx + 3xy dy where C is the circle * +y = 4.

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Q: Use Simpson’s Rule with n = 10 to approximate the length of arc of r(t) = t i + t2j + t3k from the…

A: Given,

Q: ) Let C be the arc from the point (3,0) to the point (0,3) on the circle x² + y² = 9. The value of…

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Q: ind the length of arc of the curve 6xy = x⁴ + 3, from the point where x = 1 to the point where x =…

A: Here given equation as 6xy=x4+3ory=16x3+3x Differentiate with respect to x…

Q: Find the length of arc from (2,1) to (4,4) of the curve x = 2√y

A: Let us consider curve x=g(y). The arc length of graph of g(y) from point (a, f(a)) and b,f(b) Arc…

Q: Set up, but DO NOT EVALUATE, an integral for the length of the curve y = e-2? for arc length = | dx

A: L = ∫ab1+dydx2 dx

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: 1) Find area inside the circle r 4cose and to the right of line r = sece %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 4. dt 2, find %3D

A: Consider the following formula: A=πr2 Differentiate above equation with respect to r: dAdr=2πr…

Q: Find the mibimal distance between the foint Cl,4) to the linz Yeメtl. dっしくーメュ+(-

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Q: dr Let A be the area of a circle with radius r. If dt dA when dt 4, find %3D r = 3.

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Q: 6) 3 =x2 porobola, find the yolume of the object by notating +his porabola ond the regjen around the…

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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: Find the value of a such that the arc length of the catenary y = cosh x for −a ≤ x ≤ a equals 10.

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Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

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Q: 3. a) Show that the length of the arc of the curve y=f(x) where f(x) = Insecx 0sxs is 4 In(1 + vz)…

A: L= integration of [1+{f'(x)}2] from a to b f(x) = ln sec x  f'(x) = tanx   Putting the value of…

Q: Set up but do not compute the integral for the arc length of the curve y = e-*,-1<x<1

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Q: 2 2 If C is the part of the circle E) + ) = 1 in the first quadrant, find the following line…

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Q: Find the length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 1.

A: Given that  r=6sintheta and r=1 To find the length of the entire perimeter of the region