Using the Parametric Line Equation p=s+Nd, compute the points along the line given the indicated values

Q: Give a cartesian equation for the curve given by the parametric equations: 4t² - 4t, y = 14t².…

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Q: Find the slope-intercept form of the line with the following parametric equations: a = -2 + 3t, y =…

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

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

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: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector…

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Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: Give the parametric curve: x = t3-6t2 y = t2-4t Does every horizontal line intersect the curve? Does…

A: Given: the parametric curve:

Q: consider the parametric equations:  x= √t y=√4-t graph the equation on the interval 0≤t≤4 while…

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: iii) Find the time when it reaches the highest vertical distance and calculate this distance. iv)…

A: Let's find highest vertical distance and draw the graph.