3T 2 a) When graphing the parametric equations, what are the x and y coordinates when t= b) Does the graph have a clockwise or counterclockwise orientation? C) What is the rectangular equation of this curve?

Q: 3. Find parametric equations for the graph of a circle centered at (-3,1) and radius 3.

A: Let's find parametric equations for the graph.

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: A put being thrown is represented by the parametric equations: x = 22.98t y=-16t² + 19.3t+6

A: x = 22.98t Here, x in terms of t represents the horizontal distance covered by the shot put. y =…

Q: A straight line passes through points A(-1,4) and B(0, -3). Write the equation of the line under:…

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Q: Plot the point whose rectangular coordinates are (3,1) What quadrant does the point lie in?

A: Given point is: (3,1) As both x and y coordinates are positive, the point lies in Quadrant I.

Q: It takes you 4 seconds to walk to a spot that is 10m East and 6m north of your favorite tree.…

A: Given that :Time taken to reach the end point =  secondsDistance walked in east direction =  In…

Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed.  And x values are changing.

Q: 3. Find a rectangular equation to represent the plane curve. x = 3 tant, y = 2 sect for tin (-7-7)

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Q: A basketball court is 94 feet by 50 feet. Lisa takes 20 seconds to walk from one corner of the court…

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Q: 1 (a) Find the parametric equation for the line through a = parallel to b = 3 (b) Sketch this line…

A: The vectors are .To Find:a) Equation of line through a and parallel to b.b) Plot the line.c) Give…

Q: Explain how you would graph the following set of parametric equations by plotting points and…

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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: Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

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Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.