Parameterize the curve: x2+25y2-4x+100y+4=0

Q: y (x+1)²

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

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

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Q: Find the point of inflection of the curve 6x – x' +5 y = 7 b. (2, 4) d. (3, 1) а. (0, 1) с. (2, 3)

A: Inflation point of a curve is a point on the curve at which concavity of the curve changes means it…

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

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Q: Sketch the curve (2² + y*)³ = 4.x²y? 2.2

A: To sketch the graph of:(x2+y2)3=4x2y2

Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

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

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Q: Find the curve length 3 y = 1+ 6x7,0 <x<1

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Q: Find the length of the curve y = x2, 0 ≤ x≤√3/2.

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ &lt; t &lt; ∞.

A: Given: x=3+2t y=-12-6t            - ∞ &lt; t &lt; ∞ To find: curve generated by given functions.

Q: 3. Sketch the curve: y = (x²–1)(x+2) x-3

A: y=(x2-1)(x+2)(x-3)y=(x-1)(x+1)(x+2)(x-3)X-intercept:(-2, 0), (-1, 0), (1, 0)Y-intercept:(0, 23)…

Q: The length of the latus rectum of the curve x² – 12y = 0 is -12 -3 Option Option 2 12| 3.

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Q: Find the length of the curve 4t2 -1 dt, y = %3D 1<x<3 8. 15 104 3 3.

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Q: sketch the curve  y=x/(x+1)²

A: Given equation is: y=xx+12 We have to find the graph of y. The set of x and y-values are given as…

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: Find the length of the curve x = y^4/16 +1/(2y^2) between y= -3 and y= -2.

A: we have to find the length of the curve . I have explained in details please see the explanation and…

Q: Find the length of the curve x = 1+ 312, y = 4 + 213, 0 <t < 1. Length =

A: Given,

Q: 5. In y = x2 -5 at (V5, 1)

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Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

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Q: Use the guidelines of this section to sketch the curve.   y= 3√(x3 + 1)

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

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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 exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

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: Use the guidelines of this section to sketch the curve. х — 6 y = x2

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Q: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

Q: Determine the direction in which the curve 8x +5y 0 opens. %3D

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Q: Use the guidelines of this section to sketch the curve.   y = 1/ x2 -9

A: Let us plot a table with values of x and y. x y 0 -8 1 -8 -1 -10 2 8.75

Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

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 curve length 1 +2)?,0< y < 4 %3D 3

A: Given that, the function is x=13y2+232 and the interval is 0,4. Note that, the arc length of the…

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 curve length 1 X = 3 0² + 2) ?',0 < y < 4

A: In this problem, curve length of the given curve is to be determined

Q: What are the coordinates of the center of the curve x2 + y2 – 2x – 4y – 31 = 0?

A: Given, To find coordinates of center for the curve x2 + y2 – 2x – 4y – 31 = 0?

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

A: Given,         y=13x2+232

Q: Sketch the curve and find the axis. y = Sinx; [0,] 2

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: nsider the curve x3 + y2 - 4xy = -2

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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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Q: Locate the inflection points of the curve y = e²x²

A: The given curve is y=e2x2. The first derivative of y=e2x2 is, y'=ddxe2x2=2xe2 The second derivative…