Answer:
Use the half angle formula, sin^2(x) = 1/2*(1 - cos(2x)) and substitute into the integral so it becomes 1/2 times the integral of (1 - cos(2x)) dx. Set u = 2x and du = 2dx to perform u substitution on the integral. Since dx = du/2, the result is 1/4 times the integral of (1 - cos(u)
Step-by-step explanation:
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The answer is
LA to Page: 611 mi
Page to Denver: 406 mi
Total distance from LA to Denver is T.
The distance LA to Page is x
The distance Page to Denver is y.
T = x + y
T = 1017
______
x + y = 1017
<span>The distance from L.A. to Page (x) is 205 miles greater than the distance from Page to Denver (y):
x = y + 205
The system of two equations:
</span>x + y = 1017
x = y + 205
Substitute x from the second equation into the first one:
y + 205 + y = 1017
2y + 205 = 1017
2y = 1017 - 205
2y = 812
y = 812 / 2
y = 406 mi (Page to Denver)
x = y + 205 = 406 + 205 = 611 mi (LA to Page)
Answer:
Area= 3216.99
Step-by-step explanation:
A=πr2=π·322≈3216.99088
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