(a) Find dy dx (b) Find || dy dx d²y dx² expressed as a function of t for the given the parametric equations: ď²y dr² expressed as a function of t. x Y = 9t+Int 8t - Int ||||

Q: Use the parametric equations x= sec(t) , y=tan(t), for -pi/2 < t < pi/2. Sketch the curve…

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Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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A: To determine the coordinates of the point.

Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

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Q: Consider the following parametric equations:   x= √t y=√(t−1) (a)  Sketch the curve represented…

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Q: Let x = 3t², y = −2t³ + 18t². dy Determine as a function of t, then find the slope of the parametric…

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A: To find the slope of the curve at t = 1/2, we need to find the derivative of y with respect to x:…

Q: Using this parametric equation: r(t) = Can you please help me find |r'(t)|

A: Consider the given and Differentiate w.r.t. "t".

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Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx d²y/dx² = = x…

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

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Q: (ii) Find for the parametric equations dx2 dy x =t – sint, y = 1 – cost

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Q: Consider the parametric equations x = √t − 2 and y = (1/ 2)t + 1, t ≥ 2. What is implied about the…

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