c) Determine the nature of the turning points for the curve y = x5 – 5x4 + 5x3 – 1.

Q: 4- Sketch the curve 9x - 4y = 36.

A:

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: (b) Determine the position and character of the double points on the curve x³ + x² +y² – x – 4y +3 =…

A:

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

A:

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

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Q: Determine the nature of the turning points for the curve y = x^5 − 5x^4 + 5x^3 − 1.

A:

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: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And…

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.

A:

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

A: Given,           y2=x2+5x-4x-5

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

A:

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

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

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: 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: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

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Q: b. The curves y = x² - 5x and y= 25-x.

A:

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 eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

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

A: We have to find length of curve

Q: (x – 2)2 + y² = c² %3D

A:

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

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

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Q: Find the lengths of the curves x = y2/3, 1 ≤ y ≤ 8

A:

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

A:

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

A: Given:

Q: Find the exact length of the curve y=x^4/4+1/(8x^2 ) , 1≤x≤2.

A: Given: The expression to calculate the length of a curve 'y=f(x)' is over the interval [a,b] is,…

Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

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

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Q: The equation of the curve is given as y = 3x + 1

A: topic - slope of curve at a point

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

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

A:

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

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Q: Sketch the curve with equation  x2/3 + y2/3 = 1  and use symmetry to find its length.

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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: 4- Sketch the curve 9x + 16y = 144.

A:

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: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x&gt;0 For the curve to be convex its second…

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: Find the angles at which the curve y=x3−x intersects the x-axis.

A: The angle at which curve intersect the x axis is determined by the angle of slope of tangent to the…

Q: The x coordinate of the point of intersection between the two curves 12x y = = el2# and y = 1 is x =

A: Our Aim is to find the x coordinate of the points of intersectionbetween the two curves y=e12x and…

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

A: