Amplitude : 2/3
Period : 3pi/2
Answer: The new length is: (y - x) metres.
Step-by-step explanation:
If we have a piece of string that is y metres long, and we cut x metres of strings from it, then the new length of the string will be equal to the difference between the initial length and the amount that we cut off.
So the initial length is y metres.
We cut x metres.
The new length is: (y - x) metres.
Answer:
5
Step-by-step explanation:
a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.