Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

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

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Q: Find the exact length of the curve. x = 6 + 3t, y = 9 + 2r, 0sts 5

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

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

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

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Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:…

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

A: Given :y=3+6x3/20≤x≤1

Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: Find the exact length of the curve. x = 1 + 9t?, y = 8 + 6t, 0st< 3

A: Solve the following

Q: The x coordinate of the point of intersection between the two curves y = el4a and y = 1 is

A: Equate both equation

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: Consider the curve given by the equation 0 = y3 +xy +2ax + 1+x4  y'(0) = ?

A: Answer and explanation is given below

Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

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

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Q: Find the coordinates of the point in the curve y = 12x - 2y + 23 that is nearest to the point…

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Q: Find the length of the curve x y? – 2y, 0< y < 2.

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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 exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

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

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

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 exact length of the curve 36y? (x² – 4)³, 2 0.

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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 exact length of the curve. Vy (y - 3), 16 < y < 25 X =

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Q: Find the exact length of the curve. y = x3/2, osxs 6 3

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

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

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Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

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Q: Find the latus rectum of the curve 4x2+9y2+8x -32 = 0

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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. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

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

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Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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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. x = et - 4t, y = 8et/2, 0 sts 4

A: We find dx/dt and dy/dt

Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

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

A: y=x33+14x  ,  1≤x≤2.

Q: At what part of the curve 2x2 + y? = 8 does it assume the highest value?

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Q: The curves x=y²and x = 2 y – y?

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

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 points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10,…

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve…

Q: How far trom the y-axis is the center of the curve 2x? + 2y? + 10x - 6y - 55 = 0? O 2.50 O 2.75 O…

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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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. 36y? = (x2 – 4)3, 5< xs 6,

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Q: Find the exact length of the curve. y = 1. 1sxs 2 + - 3 4x

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