2. Find the length of the curve: y = 2 In (sin (÷x)); -< x

Q: ind the equation for the tangent lin to y- fcx) at the specified point. fcx) where x=1 x2

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Q: Set up an intergal of the Curve for the length 3T Y%3DZE* sin (x), O4 xE 2

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Q: Find the exact length of the curve. y = In(sec(x)), Osxs n/4

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Q: Find the length of the curve y=Arc sin e^x when y= pi/6 to y=pi/2

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Q: Find the length of the curve over the given interval. r = 1 + sin θ, [0, 2π]

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Q: What is the slope of the line tangent to the curve x = :5e' – sin 4t and y = 8e" - cos 4t at the…

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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: Find the exact length of the curve. y = 7+ cosh (2x), 0 ≤ x ≤ 4 1 2

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Q: Find the length of the arc of the curve y =: +e*) from x = 0 to x =2.

A: y=ex+e-x2

Q: Find the exact length of the curve. = 글Vy (y-3), 16 sys 25 X =

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Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Show that the exact length of the curve below is y = Vr - r² – sin ¬1 (V7)

A: SOLUTION-

Q: Find the exact length of the curve. y = Vx - x2 + sin

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

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the exact length of the curve over the given interval. 1 along 1 < y < 2. 8 4y2 ' ||

A: Find the length of the given curve

Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: Find the arc length of the graph of the function over the indicated interval. x2 3/2 + 1 y = y 4 1 3…

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Q: find the tangent line to the given circle as directed x^2+y^2+10x-6y-2=0 parallel to y=2x

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Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

Q: Find the exact length of the curve.y = 9 + 1/7 cosh(7x),  0 ≤ x ≤ 6

A: Given that: To find: Exact length of the curve

Q: Find the exact length of the curve. y = 9 +  1 7  cosh(7x),  0 ≤ x ≤ 6

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Q: Find the exact length of the curve. y = In(sec(x)), OsxSa/4

A: Length of a curve f(x) in interval [a,b] is given by ∫ab1+(f'(x))2dx

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

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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: Find the point on the cycloid c(t) = (t − sin t, 1 − cos t) where the tangent line has slope 1/2.

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Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: Find the length of the curve y = ln (cos x), 0&lt;= x&lt;= pai/3

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Q: Find the exact length of the curve. y = In(sec(x)), 0 <x< a/6

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Q: Find the exact length of the curve. y = In(sec(x)), 0<x< 1/3 In (2 + v 2 ) – - In (1)

A: Since you have posted 2 questions we will solve one for you please resubmit the question. Given:…

Q: 9. At what point(s) on the circle x 2 + y? = 13 is its tangent line parallel to the line 3x – 2y = 6

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Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: 2 Consider the two graphs y = 2x and x - xy + 2y = 28. The absolute value of the tangent of the…

A: Introduction :

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

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Q: What is the slope of a line normal to the curve y=tan(x)/(1+tan(x)) at x=pi/4?

A: Given the equation of the curve y=tanx1+tanx To find the slope of the normal line to the given curve…

Q: Find the exact length of the cur curve. y = Vx- x2 + - sin (V)

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Q: Find the exact length of the curve. y = In(sec(x)), Osxs- 6

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Q: Find | xdy + ydx, where C is the arc of the curve y = eª for 0 < x < 3

A: Given Data: The given integrand is: ∫Cxdy+ydx The equation of the curve is: y=ex ......1 The limit…

Q: ind the exact length of the curve. X = 8 4y2' 1sys 2

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Q: 2i Find the eguation of the tangent: lime to tul Cur ve y=4x -x* at the point (l,3).

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Q: i Find the eguation iof the tangent line to Uthe curve y sin 2x =X COS24 at Hohe point (T7/2,…

A: Explanation of the answer is as follows

Q: 61. Find the lines that are tangent and normal to the curve y = 2 tan( 7x/4) at x = 1. . %3D TTX

A: The given curve is  y = 2.tan(πx/4) Thr given point x = 1 At x = 1, y = 2*tan(π/4) y = 2 Point is =…

Q: he length of the curve y = sin(3X) from x = 0 to I= is given by

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Q: Consider the two graphs y= 2x and x2 - xy + 2y = 28. The absolute value of the tangent of the angle…

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Q: Find the exact length of the curve. y = In(sec x), 0s x s a/3

A: This question is based on application of Derivative.

Q: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

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Q: what is the length of the curve y=1-cos(x) from x=0 to x=4pi

A: Given: y=1-cosx To find: We have to find the length of the given curve from x=0 to x=4π.

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

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