The following questions are about the curve given by the parametric equations x=cost and y=2sint a)Give an equation of the curve in the rectangular coordinates. b) Graph the curve. Indicate the direction of the curve on your graph. c) Find the area of the surface generated by revolving the curve, from t=(pi )/(4) to t=(pi )/(2), around the y axis
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.
The following questions are about the curve given by the parametric equations x=cost and y=2sint
a)Give an equation of the curve in the rectangular coordinates.
b) Graph the curve. Indicate the direction of the curve on your graph.
c) Find the area of the surface generated by revolving the curve, from t=(pi )/(4) to t=(pi )/(2), around the y axis
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