Find the point or points on the curve y - 4x² 20 that is closest to (4, 0). The point is (Enter your answer as an ordered pair; if there is more than one answer, enter them separated by commas).

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: Determine the angle between the curves 2x=y2 and x2+y2-5x=0

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Q: Determine the latera recta length of the curve 9x² + 25y² - 225 = 0

A: Solved below

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: For the curve y = 3x³ + 9x² – 27x + Locate the possible point of inflection.

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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: c. What is the maximum or minimum point for the curve y = -3x2 - 12x + 5?

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Q: Identify and sketch the curve: x2 + 25y2 − 4x + 100y + 8 = 0

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Q: Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is…

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Q: Find the x- coordinate of the inflection point(s) of the | .2* curve y = -7xr'+ 4x +10.

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Q: Find the exact length of the curve. y = 4 + 6x3/2, Osxs1

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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 exact length of the curve. 1sys2 8. 4

A: Solve the given

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

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Q: Find the exact length of the curve. y = 4 + 8x3/2, Osxs1

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Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

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Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY   Y2 = x2+5x−4/x−5

A: Given,           y2=x2+5x-4x-5

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: x3 Y2 = x2-4x+4

A: To determine the properties of curve, we will need to have function, its first order derivative and…

Q: Sketch the graph of the curve r = 2+4Cose

A: Given equation: r=2+4 cos θAmplitude: 4This equation will have the same time periodas sinθ which is…

Q: Find the length of the curve: x3 1 y = - 3 4x' 1<x< 3

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Q: Find the exact length of the curve. 1.2 y = 1x²-1⁄In(x), 2 4 1 ≤x≤ 8

A: This question can be solved using the concept of length of curve using derivatives.

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY Y^2 =x^2+5x−4/x−5

A: We are given the curve: y2=x2+5x-4x-5 Sketching the curve , we have :

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 length of the curve y=x^2-1/8lnx for 1<=x<=3

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

A: We have to find length of curve

Q: Determine shortest distance of the line 2x-3y-8 to the vertex of the curve x2 - 4a 4y +4 0. O 2 O…

A: We have given a line ,and find the shortest distance from vertex of parabola to line.

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: Find the exact length of the curve. 2. y = 3 x3/2 Osxs1

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: 6. Y = %3D x2-4x+4

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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 exact length of the curve. y = 4 + 4x3/2, oSxS1

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Q: analyze and trace the given curve y = 2x3 + 3x2 - 12x + 7

A: Given:

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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

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Q: Sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length.

A: Arc Length formula in the interval [a,b] is given by, L=∫ab1+dydx2 dx This is applied only when dydx…

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

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Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

Q: Find the properties of the curve and sketch fully   y2=x^2-4x-12/x^2-2x-3

A: I have provided this answer in step 2.

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

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Q: 8. 3y = x' + 3x? – 9x + 3 %3D

A: Given: y=x33+x2-3x+1 We know that any given functiony=fx have maxima at x=a, if f'a=0 and f'x change…

Q: Find the lengths of the curves y = x1/2 - (1/3)x3/2, 1 ≤ x ≤ 4

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Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY 6. y2 = x²+5x-4 x-5

A: Given, the function y2=x2+5x-4x-5. We have to sketch the given curve. Also, find the properties.

Q: Find the lengths of the curves y = 2/3 x3/2 - 1, 0 ≤ x ≤ 1

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Q: Find the exact length of the curve. 23/2 12, 0 <x < 1 y =

A: Given : y=23x32,       0⩽x⩽1   To find : Curve length

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

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Q: =+ dr x = 2 ke x = 3 16 2x2

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