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

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

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Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

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: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: Find parametric equation of the line joining points P{(2,4, –1) and P2(5,0, 7). Where does it…

A: To do this we need the vector V→ that will be parallel to the line. This can be any vector as long…

Q: Use point plotting to graph the plane curve described by the given parametric equation x = √t, y = t…

A: Given: x=t , y=t-1 To determine: Graph of given parametric equations.

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: Find a parmetric equation that describes the entire set of points (x,y) such that 4x2-9y2=36

A: The given curve can be represented in a different manner as shown on the whiteboard.

Q: calculate the distance between the point P (2, 3) and the point Q (1,-2) 20 3 us O V25 4 jus O V26

A: The distance between two points (x1, y1) and (x2, y2) is                    d=(x2-x1)2+(y2-y1)2…

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: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: Find Cartesian equation for the curve represented by the parametric equation x=et-6, y = e²+

A: To find the Cartesian equation we have to write a equation in terms of the variable x and y only. I,…

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.

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: Which of the following mathematical models is used to determine the distance between two points…

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