Answer:
Step-by-step explanation:
x² + 4y² = 36
divide by constant
x²/36 + y²/9 = 1
x²/6² + y²/3² = 1
6>3, so length of major axis is 2×6 = 12
Answer:5
Step-by-step explanation:
Form the equation 27.75n+5.50=144.25
Subtract 5.50 from 144.25.
144.25-5.50=138.75. Now you have 27.75n=138.75. Divide 138.75 by 27.75, 138.75/27.75=5. So n=5
Answer:
dy/dx = (1 / x^3 + x) × (3x² + 1) × (1/2)
Step-by-step explanation:
y = log[ x² × √(x² + 1) ]
y = log[ √(x(x² + 1)) ]
y = log[ √(x^3 + x) ]
y = log[ √(x^3 + x) ]
Now, let a = √(x^3 + x)
Then y = log(a)
Find dy/da.
y = log(a)
dy/da = (1 / a)
dy/da = (1 / √(x^3 + x))
Find da/dx using chain rule.
a = √(x^3 + x)
Let b = x^3 + x, then a = √b
da/dx = (db / dx) × (da / db)
da/dx = (3x² + 1) × (1/2)× (b)^(-1/2)
da/dx = (3x² + 1) × (1/2)× (x^3 + x)^(-1/2)
Finally, find dy/dx using chain rule.
dy/dx = (dy/da) × (da/dx)
dy/dx = (1 / √(x^3 + x)) × (3x² + 1) × (1/2)×
(x^3 + x)^(-1/2)
dy/dx = (1 / (x^3 + x)) × (3x² + 1) × (1/2)
Quantity of rides : 1 horu / 11.89 seconds = 3600 seconds / 11.89 seconds = approximately 302 rides
1 ride - 8 people |multiply 302
302 rides - 2416 people
2416 people can ride the roller coaster In one hour
Answer:
Time=I×100/P×T
=450×100/2400×7.5
=4years
Step-by-step explanation:
