Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equation x = t, y = 2t. Use arrows to show the orientation of the curve corresponding to increasing values of t. If an interval for t is not specified, assume that - ∞ < t < ∞.

Q: find parametric equations for the given curve. y = 9 − 4x

A: The given equation

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

A: The parameter is

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: Given x=8cost and y= 9sint where 0≤t≤2π   t x y 0 8 0 π/2 0 9 π -8 0 3π/2 0 -9 2π 8 0

Q: Describe the graph of the relation determined by   Indicate the direction in which the curve is…

A:

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: To find a parametric equation of the line tangent to the curve of intersection of the surfaces at…

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

A:

Q: A. DETERMINE THE POINTS ON THE CURVE WHERE THE TANGENT LINE IS HORIZONTAL OR VERTICAL B. DETERMINE…

A: A parametric curve is defined as a function of new parameter t. Like the Cartesian curve, it has…

Q: Construct parametric equations describing the graph of the line passing through the following…

A: Topic = Coordinate geometry

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

A:

Q: Use the parameter to write each rectangular equation as a pair of parametric x² x2 6 equations.…

A:

Q: X = 1 + 6t y = 2 + 4t, t ER z = 2t A line is defined by the parametric equation L : If the point (a,…

A:

Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

A:

Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given

Q: Use the parameter t to write parametric equations representing the given curve. Use only the given…

A: Consider the provided information.The line is passing through the points (0,2) and (3,1).The task is…

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.