Eliminate the parameter t from the parametric equations x = 3 cos t, y = 5 sin t and then sketch the graph of the plane curve.

Q: Consider the parametric equation x = 13(cos(theta)+theta(sin(theta)),  y =…

A: To find the length of parametric curve on [0,9π/4]

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

Q: 4. Convert to rectangular coordinates and sketch the curve x = 4 sec 0 y = 3 tan 0

A: Here we convert parametric equation in rectangular equation. And then we draw the graph.

Q: Use the parametric equations shown below to answer the following. x = tV3 y = 3t - and

A: Given the parametric equations: (a) To plot the graph of these parametric equations using a…

Q: Consider the following parametric equations:   x= √t y=√(t−1) (a)  Sketch the curve represented…

A:

Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

A:

Q: represent y = R 2 x=t3, y

A:

Q: Write the corresponding rectangular equation for the curve represented by the parametric equations…

A:

Q: Consider the curve described by the parametric equations ¤ = t² +4 and y = 3t + 4t. Determine the…

A:

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.