Find the points on the curve x2y = 2 nearest the origin.

Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: Find the exact length of the curve. 0 < x < 6 %3D 3

A: Given:   To determine: Exact length  of the curve     Concept: Exact length of the curve y = f(x)…

Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Find the points on the curve x^2y = 2 nearest the origin.

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Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Find the exact length of the curve. Ex372, 0sxs 4 y =

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Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

Q: tind the point on the curve y=Jx that is closest to the point (3,0).

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Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: Find the point on the curve y =√ x that is closest to thepoint (3 ,0) .

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

Q: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y&gt; 0

A: Given: y2=4x+43,0≤x≤2,y&gt;0 To Find: Find the Exact length of the curve. Concept: Length of the…

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: Find the point on the curve 4x

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Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

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 point on the curve y2 =(x+1) which is nearest the origin.

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Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

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Q: Find the exact length of the curve.   y = 1+ 6x3/2 , 0 ≤ x ≤ 1

A: Find the exact length of the curve.

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Find the point on the curve y = Vx closest to the point (1,0).

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Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

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Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: Find the closest point to the point (2,0) on the y = x curve.

A: To find the closest point to the point (2,0) on curve y=x

Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

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Q: Find the length of the curve x = y2 — 2y, 0 ≤ y ≤ 2.

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Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

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. y = 3 + 8x3/2, 0<x<1

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

A: Differentiating with respect to y, we get

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

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

A: Given,         y=13x2+232

Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

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Q: find the slope of the curve at the point indicated. 19. у %3D 5x — Зх?, X =

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Q: Find the length of the curve of y=x³/2 from x=1 to x=4.

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Q: Find the exac length of the curve 3/2 , 0dxE y=2+2x

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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: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

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

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Q: Find the length of the curve y =1+6x?on the interval 0<x<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