Answer:
a) 
b) 
Step-by-step explanation:
Given integrals are:
---(1)
---- (2)
Standard form
<h3>Part A</h3>
compare (1) with standard form
![[f'(x)]^{2} = 64x^{8}\\f'(x)=\pm 8x^{4}\\f(x)= \pm8\frac{x^{5}}{5}+C](https://tex.z-dn.net/?f=%5Bf%27%28x%29%5D%5E%7B2%7D%20%3D%2064x%5E%7B8%7D%5C%5Cf%27%28x%29%3D%5Cpm%208x%5E%7B4%7D%5C%5Cf%28x%29%3D%20%5Cpm8%5Cfrac%7Bx%5E%7B5%7D%7D%7B5%7D%2BC)
<h3>Part B</h3>
Compare (2) with standard form
![[f'(x)]^{2}=64cos^{2}(2x)\\f'(x)= \pm 8cos(2x)\\f(x)=\pm 8\frac{sin(2x)}{2}+C\\f(x)= \pm 4sin(2x)+C](https://tex.z-dn.net/?f=%5Bf%27%28x%29%5D%5E%7B2%7D%3D64cos%5E%7B2%7D%282x%29%5C%5Cf%27%28x%29%3D%20%5Cpm%208cos%282x%29%5C%5Cf%28x%29%3D%5Cpm%208%5Cfrac%7Bsin%282x%29%7D%7B2%7D%2BC%5C%5Cf%28x%29%3D%20%5Cpm%204sin%282x%29%2BC)
Answer:
a) 188400
b)125600
Step-by-step explanation:
Add yes and no votes together
188400 times 2/3
Hotel
He stayed 3 nights, so $115.62 × 3 = $346.86
Airfare
$45.70 + $32.49 = $78.19
Food
He averaged $15 a day, and he stayed 4 days.
$15 × 4 = $60
Winnings
He won $75 but lost $25
$75 - $25 = $50 won.
Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.
9y - 5x = 20
or, (9y - 5x) / 20 = 1
or, 9/20 y - 1/4 x = 1
compare with x/a + y/b = 1
you'll get
x intercept (a) = -4
y intercept (b) = 20/9
