Question 9 ▼ く Find the curvature of the curve r(t) = (-4t, −3t4, 5t³) at the point t = 2. Give your answer to 2 decimal places.

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

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Q: (b) For the curve given by xy – x³y² = 1 − x dy dx i) Find d²y dx² ii) Find-

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Q: Tangent to the curve z? = 2xy + x² , z = 3 ,at the point ( 1, 4 , 3 )

A: Introduction: The tangent line (or simply tangent) to a plane curve at a particular position is the…

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A: Given parametric curve, x = t+sin(t) y = t-cos(t)

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

A: r(t)=&lt;-5t, 3t5,-2t3&gt;, point, t=-1

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: (1 point) Find the curvature (t) of the curve r(t) = (4 sin t)i + (4 sin t)j + (5 cost) k

A: we will find the required solution.

Q: A projectile is fired at the angle of 30° above the horizontal with a muzzle velocity of 460m/s.…

A: Find your answer below

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Q: Sketch a graph of the helix r(t) = (- cos(2πt), 4 sin(2πt), 3t), listing the rotation direction,…

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

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Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)

Q: nd the points where. x = t³ − 3t, y = t³ – 3t² has vertical tangent lines and horizontal tangent…

A: Please see the below picture for detailed solution.

Q: 3 2 1 Y from y = 1 to y = 11 - 3. ||

A: To find the arc length of the curve x=y323-y12 from y=1 to y=11. Result: Length of a curve y=f(x)…

Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: (ii) Prove the following Frenet-Serret formulae: T = KUN, N-KUT+TU B.

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