Find the parametric equation for the line tangent to the r(t)=sinti+(t2-cost)j+etk curve t=0 at the parameter value.

Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

A:

Q: I am having trouble understanding this review question. There is a curve defined parametrically by…

A: There is a curve defined parametrically by x=at^2 + bt and y=ct^3 + dt^2 + et . Here, a,b,c,d,e are…

Q: Find the parametric equation to describe the following curve: b) the part of x = 2y^2 - 1 from…

A:

Q: How might the parametrized curve differ from the graph of its Cartesian equation?

A: Graph: In Cartesian equation you represent curve as a direct relationship between x, y coordinates.…

Q: Find a parametric description for the curve y=4-x^2 from (-2, 0) to (2, 0) such that t=0 corresponds…

A: Given: The curve y=4-x2 from (-2,0) to (2,0)

Q: Find a parametric description for the curve x=y^2-9 from (0, 3) to (-5, -2) such that t=0…

A: We need to parametrize the curve x=y2-9 from 0,3 to -5,2 We need to put either x=t or y=t and see 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.