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.
Answer:
last test grade=x x ≥ 79 so 79%
Step-by-step explanation:
(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90
Simplify: (371/5)+(x/5) ≥ 90
Subtract (371/5) from both sides
Then you have (x/5) ≥ (79/5)
Then multiply both sides by 5 and you have x ≥ 79
P.S. If it was helpful please consider giving me brainliest. =)
Domain of fg(x) is determined by the domain of g(x).g(x) has domain such that x is any real number.So domain fg(x) is x such that x is any real number.
Answer:
$12.60
Step-by-step explanation:
6% of 210 is .06 x 210 which equals 12.60
9514 1404 393
Answer:
- sin(Ф) = (4/41)√41; csc(Ф) = (√41)/4
- cos(Ф) = (5/41)√41; sec(Ф) = (√41)/5
- tan(Ф) = 4/5; cot(Ф) = 5/4
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.
Tan = Opposite/Adjacent
tan(Ф) = 4/5
This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:
AC² = AB² +BC² = 5² +4² = 41
AC = √41 . . . . . hypotenuse
Then the other trig functions are ...
Sin = Opposite/Hypotenuse
sin(Ф) = 4/√41 = (4/41)√41
Cos = Adjacent/Hypotenuse
cos(Ф) = 5/√41 = (5/41)√41
And the reciprocal functions are ...
csc(Ф) = 1/sin(Ф) = (√41)/4
sec(Ф) = 1/cos(Ф) = (√41)/5
cot(Ф) = 1/tan(Ф) = 5/4