A pair of parametric equations is given. x = t2, y = t – 3, 3sts6 (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y 3- 3- 2 - 30 -20 -10 10 20 30 - 30 - 20 -10 10 20 30

Q: Consider the parametric equations below. x=t²-5, y =5-4t, -3 ≤ t ≤4 (a) Sketch the curve by using…

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Q: Use the parameter to write each rectangular equation as a pair of parametric equations. State any…

A: The parameter is

Q: Using the pair of parametric equations, find the values of A and B in the table. x = -8t + 8, y = t…

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Q: The parametric equation for the y-axis is:

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Consider the following equations. x = 1 - t, y = t - 3, -2 <t< 2 (a) Sketch the curve by using the…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Use the parameter to write the rectangular equation as a set of parametric equations. x² State any…

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Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A: Given, x=5t-3 ......(1) and, y=25t2 ......(2)

Q: Consider the parametric equations below. Assume that t can be any real number. x=t-3, y=2t-5…

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Q: Consider the parametric equations below. x = 4 + 5t, y = 5-t² (a) Sketch the curve by using the…

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Q: Give the parametric equations of the rectangular equation below. y = (x − 2)² + 5 x = t + 2 x = t 2…

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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.