21 a- Given below are the parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. x = v2t + 1, y = Vt, t >0

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: Explain the process of sketching a plane curve given by parametric equations. What is meant by the…

A: The objective is to explain the process of sketching a plane curve given by parametric equations.

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Q: Complete the parametric equations for the line where the planes - 6x - y + 11z = -34 and - 4x + 2y +…

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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: Vrite the parametric equation of the line representing the intersection of the x+ 2y + z = 5, x – 3y…

A: Answer

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Q: Find a set of parametric equation for the tangent line to the curve of the intersection of the…

A: Find a set of parametric equation for the tangent line to the curve of the intersection of the…

Q: Find parametric equations for the line described below. The line through the point P(2, 5, 0) and…

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Q: Find the rectangular equation for the following two parametric equations. x = 2t – 1 and y = t² + 6…

A: Given equation is  x = 2t-1            ..............(i) And y = t2+6          .............(ii) So,…

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Q: What is the rectangular equation of the curve fro the parametric equation below? x=3t+2,…

A: Consider the parametric equation, x=3t+2y=t+40≤t≤4

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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.