4 (e)
sin^8 x - cos^8 x
= (sin^4 x + cos^4 x)(sin^4 x - cos^4 x)
= (sin^4 x + cos^4 x)(sin^2 x - cos^2x)(sin^2 x +cos^2 x)
= (sin^4x + cos^4 x)( sin^2 x- cos^2 x)
Sorry I cant do 4 (d).
Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
-12x-10=0 since the X can't combine with non X numbers
Answer:
C
Step-by-step explanation:
Since EF and GH are parallel lines then
∠EGF = ∠GFH = 60° ( Alternate angles )
We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
