Try to sketch by hand the curve of intersection of the parabolic cylinder y = x² and the top half of the ellipsoid x² + 2y² + 2z² = 4. Then find parametric equations for this curve. (x(t), y(t), z(t)) = -(C for -1.1 sts 1.1

Q: From the two parametric equations below, find dy dx x = (2 − 3t)/ (1 + t) , y =(3 + 2t)/(1 + t)

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Q: A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle…

A: x(t)=(89cos61∘)t, y(t)=−16t2 +(89sin61∘)t+9.    comparing with height equation; y(t)=−1/2(g)t2 +(v0…

Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

Q: Find the (perpendicular) distance from the line given by the parametric equations (x(t) = -1 - 8t…

A: To find the (perpendicular) distance from the line given by parametric equations…

Q: Verify algabraically whether the parametric equation x(t) = 10-2.5t, y(t) = 1.5t and the rectangular…

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