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A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…
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A: Given option are wrong, option c should be '-16'.
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A: We have, It is known that radius of curvature is given as, Here K is curvature of the curve.…
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A: We Know that The curvature measures how fast a curve is changing direction at a given point.
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A: In a simple closed unit-speed plane curve, curvature =1r According to the question, Area of the…
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A: Solution
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A: κ= r'(t)→× r"(t)→r'(t)→3 We have to just evaluate for given r(t)
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Q: 4) Find the curvature of y = cos x at the point (÷,²). Then find the equation of the osculating…
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A: The equation of the circle of curvature is calculated using the formula: x-x2+y-y2=ρ2, where:…
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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…
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A: Given that: r(t)=9cos(4t)i+9sin(4t)j
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Q: 2. Find the radius of curvature for the curve r*cos20 %3D 1.
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Q: Determine the curvature of the graph of y = In x at the point where x = 1.
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Q: Use the curvature formula to find the following parameterized curve
A: Solution: The objective is to find the curvature
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A: Show that the curvature of a circle of radius r is 1r and the curvature of the line is zero.
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Q: Find the radius of curvature of 6y = x³ at the point (2,).
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Q: 4. Find the radius and center of curvature of the curve y=6x-x³ at the point (1,5).
A: This question is based on radius and centre of curvature formula.
Q: 4) Find the families of lines of curvature of the surface z = r + y? .
A: Given: z=x2+y2
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Q: Find the center of curvature of y = x3 at the point (1, 1) A. (-4, 8/3) C. (6, -2/3) B. (4, -8/3)…
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Q: Find the center of curvature of the curve y-Inx at (1, 0).
A: We Know that Centre of curvature for y=f(x) is κ=|f′′(x)|/(1+f′(x)3/2 -----(1)
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Q: 4) Find the families of lines of curvature of the surface : =+ y² .
A: Given: z=x2+y2
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Q: The curvature of y =x is
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Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t
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Q: Find the curvature of r(t) = at the point (1,0,0)
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Q: Find the y coordinate of the center of curvature of th parabola at (2,2).
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Q: Find the center of curvature of the curve y=Inx at (1, 0). A) (4, 3) (в) (3,4) c) (3, -2) D (-2, 3)
A: Ans D
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Q: 1 at the point (1,1). Find the curvature of the curve f (x) =
A: We need to find the curvature of the curve fx=1x at the point 1,1.
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A: we are given we can use formula now, we can plug it and we get
Q: find the curvature of y=x^4 at (1,1).
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Q: Find the curvature of y = sin(-lx) at x = .
A: Solution:-
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A: Given:y = -t4differentiating with respect to t, we get: y' = d(-t4)dt…
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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: Find a plane curve a(s) endowed with a unit-speed prametrization by SE (-0, 0) such that its signed…
A: The curvature of the curve αs is given by: αs=∫s0scos(θ(u))du, ∫s0ssin(θ(u))du-----(1) in which…
Q: Find the point on the curve y = ex where the curvature is greatest.
A: Given: Find the point on the curve y = ex where the curvature is greatest.
Q: Find the curvature of the plane curve y = 4t³ at the point t = 2.
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Q: x= 0, x= π &x= π
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Q: Find the curvature of the curve ř= .
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Q: Find the curvature K of the plane curve y 3 at x = 3. 2х + K =
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Q: Determine the radius of the curvature of the plane curve given by y In sec x at the || point (0,0).
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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: At what point does the curve have maximum curvature? y = 7 In(x) (x, y) = What happens to the…
A: Given, y = 7 ln(x)
Q: Find the center of curvature of the curve y= Inx at (1, 0). (A) (4, 3) B (3, 4) C) (3, -2) (D (-2,…
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