Find the shortest distance between the line y - x=1 and the curvex =y.

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

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

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Q: Find the exact length of the curve.10. 36y 2 = (x2 – 4)3, 2 ≤ x ≤ 3, y ≥ 0

A: Given :                36 y2  =  ( x2 - 4)3  To find :                  The exact length of the…

Q: Find the length of the curve 36y2 = (x — 4)3 , 2 ≤ y ≤ 3, y ≥ 0.

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Q: Find the minimum distance from the point (3, 0) to the circle x2 + y2 = 4.

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Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Explain the steps required to find the length of a curve y = ƒ1x2 between x = a and x = b.

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

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Q: Find the exact length of the curve. y = 1 - e-x ,    0≤   x ≤ 2

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

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Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: Find the exact length of the curve. 1 y = 4 -x² - In(x), 1< x < 8 2

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Q: y = 4 1 ,2 In x, 1<x < 2 2 -

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Q: Find the length of the curve y = x2 from x = 0 to x = 7.

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Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that…

Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: X = 8 1 + 1 < y< 2 4y2'

A: We find the length of the given curve by using the formula of length of the curve. The length of a…

Q: Find the exact length of the curve. 36y2 = (x² – 4)³, 4 < x < 9,

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Q: Find the length of the curve X= -y², 1≤ y ≤9

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Q: Find the length of the curve y = 1 - e^-x, 0 &lt;=x&lt;=1.

A: The given curve is

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

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

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Q: Find the exact length of the curve. 1 + X = 8 , 1< y< 2 4y2'

A: It is given that,       x=y48+14y2,   1≤y≥2we have to find the exact length of the curve.   So, we…

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

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Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: Find the length of the curve 9y2=8x3 from x=o to x=12 when y>0

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Q: 36y2 = (x2 − 4)3,    2 ≤ x ≤ 6,    y ≥ 0

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Q: Find the length of the curve y = x - lnx ; 1≤ x ≤ 4.

A: Given curve y=x-lnx  On closed interval [1,4] Length of the curve L=? Step 1 Find the derivate of…

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

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Q: Find the exact length of the curve. x3 y = 1 < x < 2 %3D 4x

A: y=x33+14x  ,  1≤x≤2.

Q: Find the length of the curve defined by Y=5x^3/2+9y from x=1 to x=8.

A: Given that

Q: Find the shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

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Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4

Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: / Find the length of the curve y = (÷) (x²

A: Given,         y=13x2+232

Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

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Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

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Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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

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Q: Find the exact length of the curve. y = 4 글2-글 In(x), 1 < x < 4

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Q: Find the length of the curve. 33) y-승. from x = 1 to x= 5 2x

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Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

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Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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

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