O Choose the right answer: -22 (a) The Curvature of the curves x2x+y= 15 is 16 15 15

Q: (c) Sketch some typical members of the family of curves y = ax? + b.

A: Given the curves y=ax2+b is parabola  For a=1, b=0 y=x2

Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

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Q: You did not Calculate the curvature at the point (0,1,π4) .

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Q: r(t) = (2+31+3 23. Find the length of the curve r(t) = (rsint+cost)i + (sint-rcost) j+rk from 0..…

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Q: Find the curvature k(t) of the curve (r)t=(-9sint)i+(-9sint)j+(6cost)k

A: Solution is given below:-

Q: Find the curvature of the curve r(t) = (-5t, 3t5, 2t³) at the point t = Give your answer to 2…

A: r(t)=<-5t, 3t5,-2t3>, point, t=-1

Q: 9. Find the curvature, radius of curvature, and the equation of the circle of curvature at the point…

A: Given  y=2x3+3x2-12x-2936 To find Radius of curvature, curvature & The equation of circle of…

Q: Find the curvature of the curve =.

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Q: Select a correct statement concerning the curvature of the graph y = x2 on the xy-plane. O The…

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Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: 8. For the curve given by r(t) = (sin³ t, cos³ t, sin² t), 0≤ t ≤, Find an equation for each (d) the…

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Q: Find the curvature k of the circle C:(x – 2)2 + (y +3) = 25 - at the point (5, 1).

A: circle equation is x-22+y+32=25 and point 5,1find curvature k

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

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Q: Prove that v5 is irrational.

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Q: y = x3 – 3x2 – x + 7. Find the location of the local minima.   Find the location of the local…

A: The given function is y=x3-3x2-x+7. Obtain the first and second derivative of y with respect to x as…

Q: Consider the equation 2.61x² + y² = 1 +0.71x²y². In this question you will calculate the curvature,…

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Q: Find the curvature K, the i

A: Given: Curve y=4+x2 and point 0,2 To find: a) Curvature K             b) Radius of curvature R…

Q: A curve is drawn on a parabolic cylinder so as to cut all the generator. expression for curvature…

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Q: 2. Given the function y =+*- r*+x* - 3x + 21 (-1.5 < x < 1), find the slope and curvature for the…

A: Given the function

Q: () 4. For the curve y=c cosh show that p= 5. Find the curvature at (1,-1) on the curve y= x - 3x+1.…

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Q: r(t) : (x(t), y(t), z(t)) where x(t) = – 2t + 3t + 3 y(t) = 2t – 2 z(t) = 2t2 + 5t Since all…

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