|Circular y arc y =x r5/2 2 (4, 1) + + 6. 4 2. 4.

Q: Find the radius of curvature of a parabola y² - 4x = 0 at the point (4,4). 2

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Q: At what point does the curve have maximum curvature? What happens to the curvature as x→∞ 30. y=1n x…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Two tangents AB & BC are intersected by a line having angles 40 o & 35 o respectively. The…

A: Consider the two tangents AB and BC which are intersected by a line that have angles 40o and 35o.…

Q: Find the radius of curvature of the parabola y² = 4px at (0, 0).

A: Given that the parabola y² = 4px  To Find the radius of curvature of the given parabola at (0,0).…

Q: Find the curvature of the curve y = x^3 at the point (x, y) = (2, 8).

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Q: 2.Let a be a unit speed curve lying on a sphere center c and radius a > 0. Find the minimum value of…

A: Given That : Let α be the unit speed  curve lying on a sphere center c and radius a>0. To Find :…

Q: -*) at (0, 1). Find the center of curvature of the curve

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your…

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Q: What is the approximate radius of curvature of the function y = x2 + 6x – 96 at the point (8, 16)?

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Q: at what point does the curve have maximum curvature y=7e^x

A: Given: Consider C is the curvature, formula used:

Q: 4) Find the curvature of y = cos x at the point (÷,²). Then find the equation of the osculating…

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Q: What is the approximate radius of curvature of the function y = x 2+ 6x – 96 at the point (8, 16)?

A: Given: The function is y=x2+6x-96. To determine: The approximate radius of curvature of the given…

Q: 3. Find the radius of curvature at any point of the curve y = a Cosh ( x/a)

A: solution:-  The given curve is  .y=a coshxa.........eqo1

Q: At what point does the curve have maximum curvature? What happens to the curvature as x → ∞? y = ln…

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Q: What is the equation for curvature for the curvey=sin(x)? What is the curvature of the curve…

A: The equation of the circle of curvature is calculated using the formula: x-x2+y-y2=ρ2, where:…

Q: A curve is given in polar coordinate as r=R(f). What is its curvature? Find it in terms of R,R' and…

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Q: Find the angle of inclination 6 of the tangent plane to the surface at the given point. x2 + y2 =…

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Q: Sketch y=. Calculate the radius of curvature at x= 2 and sketch the oscillating circle.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the radii of curvature and torsion at a point of the curve    x^2+y^2=a^2 , x^2-y^2=az

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Q: (a) Given that the transition curve of the highway is modelled after the curve y=4sin x-sin 2 x.…

A: Guven curve  y= 4sinx-sin2x. We have to find its curvature at x=pi/2.

Q: Find the point on the curve at which the curvature is a maximum and (b) find the limit of the…

A: (a) To find the point on the curve at which the curvature is a maximum  (b) find the limit of the…

Q: Q2 Find the radius of curvature of y5 =x at the point (x,v.). Hence, show that the radius of %3D…

A: The curve is y5=x3

Q: Find and sketch the circle of curvature at the point on the curve y = x² where the tangent line has…

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Q: 3. Find the radius and center of curvature of the parabola y=x²-4x+4 at any point (x,y)on the curve.

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Q: |d?y |dx2 K($) = Cos3 %3D

A: Given curve y=f(x)

Q: Find the curvature of the curve (t) =(- 2t, 4t", – 5t") at the point t Give your answer to 2 decimal…

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Q: What is the radius of curvature at point (1, 2) of the curve 4x – y2 = 0.

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Q: 2. If the radius of curvature is 3/2, the curvature is .

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Q: Find the curvature and radius of curvature of the plane curve y = tan x at the given value of x == π…

A: To find the curvature and radius of curvature of the plane curve y=tanx at x=π4.

Q: Find the curvature and the radius of curvature at any point on the curve y = In sec x.

A: A curve given y = ln (secx)  Find out the curvature and the radius of the curvature of given curve.

Q: Find the y coordinate of the center of curvature of th parabola at (2,2).

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Q: 15. y= 2x +3 at x = 27

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Q: The curvature of a circle of radius 2

A: Note that a circle of radius r has the curvature of 1r.

Q: The particle travels along the path defined by the parabola y = 0.5x^2. What is the radius of…

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Q: A curve is drawn on a parabolic cylinder so as to cut all the generators at the same angle. Find the…

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: Two tangents AB & BC are intersected by a line having angles 55° & 45° respectively. The radius of…

A: Here we find the chainage of T2 =Chainage of N+length of arc N T2  chainage of N=chaiange of T1…

Q: Find the least radius of curvature of the cubic parabola y=x3.

A: Given To find the radius of curvature, first find the curvature (K) using the formula. Find the…

Q: Show that the parabola y = ax2, a  0, has its largest curvature at its vertex and has no minimum…

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Q: 2) Find and sketch the circle of curvature at the point on the curve y = x² where the tangent line…

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Q: Calculate the curvature and radius of curvature of y = 4 cos x + sin x at x = π/2

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Q: The path of a particle's motion is defined by y = x2 + 3x, where the dimensions are measured in cm.…

A: The radius of curvature of the curve y=f(x) is expressed as ROC=1+dydx232d2ydx2 Differentiate both…

Q: What is the radius of curvature at point (1, 2) of the curve 4x - y2 = 0.

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Q: 2) Find and sketch the circle of curvature at the point on the curve y x where the tangent line has…

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Q: Find the radius of curvature of 6y = x3 at the point (2,). %3D

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Q: Find the radius R, of curvature to the hyperbola y = x + 3x² – x³ at the point x = 0 given that R =…

A: To find the radius R, of curvature to the given hyperbola at point x = 0.

Q: Find the curvature and radius of curvature of the curve y=cosmx at a maximum point.

A: Given curvey= cos mxWe have to find curvature and radius of curvature at maximum point .Formula…