The parametric equations and parameter intervals for the motion of a particle in the​ xy-plane are given below. Identify the​ particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.   x=5cos(2t)​, y=5sin(2t)​, 0≤t≤π/2

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A: x = 2+5 cost → x-25=cost    y = 3+2 sint → y-32 = sint  Square both equations and add them.…

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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.