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A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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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: Given ,
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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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Q: Find the center of curvature of xy = 4 at (2, 2).
A: Solution
Q: Find the curvature of the curve defined by F (+) = (5 cos(t), 6 sin(t)) at t = 2
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Q: Obtain the curvature of x= k (0 – sin 0); y=k(1+ cos0) in terms of '0'.
A: This is the question from application of advanced Differential Calculus.
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A: Use formula of radius of curvature
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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: 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.
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Q: Find the curvature of the curve defined by the function y=3x^2 - 2x + 4 at the point x=2
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Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.
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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 .
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Q: Find the curvature and the radius of curvature at any point on the curve y = In sec x.
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Q: The curvature of y=x? is:
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A: we are given we can use formula now, we can plug it and we get
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A: Solution:-
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A: Given: Find the point on the curve y = ex where the curvature is greatest.
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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…
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