Answer:
a) See the file below, b) , c)
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
c) The perimeter of that arc is approximately:
ANSWER
4 roots.
EXPLANATION
The given polynomial function is
This is a fourth degree polynomial.
According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.
This roots include both real and complex roots.
Also repeated roots or roots with multiplicity greater than one are counted as distinct.
Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.