Answer:
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Step-by-step explanation:
Smallest value of cos α = - 1,
largest value of cos α = 1.
When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5
When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Numerator is the the number above the line on a fraction, while the denominator is the number underneath the line.

is similar to

Fraction with numerator -6 and denominator 8
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:
approximately 14 each hour
Step-by-step explanation:
500/100 = 5 = 1% of 500
2% of 500 = 10
500 - 10 = 490
490/36 = 13.6 or about 14
multiply 14 by the number of hours each day and you'll get the final answer