8x = 4x-32
8x - 4x = -32
4x = -32
x = -32/4
x =-8
1/16 cup..........................1 tablespoon
1 1/2= 3/2 cups................x tablespoons
1/16*x=3/2
x= 3/2 : 1/16=3/2*16= 24 tablespoons he needs
Answer:
∑ₙ₌₀°° (-3x)ⁿ / n!
R = ∞
Step-by-step explanation:
Maclaurin series is:
∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
Find the nth derivative and evaluate at x=0:
f(x) = e⁻³ˣ
f⁽ⁿ⁾(x) = (-3)ⁿ e⁻³ˣ
f⁽ⁿ⁾(0) = (-3)ⁿ
The Maclaurin series is therefore:
∑ₙ₌₀°° (-3)ⁿ xⁿ / n!
∑ₙ₌₀°° (-3x)ⁿ / n!
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-3x)ⁿ⁺¹ / (n+1)!] / [(-3x)ⁿ / n!]│< 1
lim(n→∞)│(-3x) n! / (n+1)!│< 1
lim(n→∞)│3x / (n+1)│< 1
0 < 1
The radius of convergence is infinite.
Answer:
166 2/3
Step-by-step explanation:
So the wuestion asked how many miles each day. Well because 500 cant evely go into 3 we have to simplify it. And when you simplify 500/3 we get 166 2/3.
In order to get the amount of water we would like to have in cubic feet, we must first subtract 0.25 ft (the distance from the top the waterline must be) from the height
1.5-0.25=1.25
Next we multiply the length, width, and new height in order to find the volume
2*1*1.25=2.5ft^3
We divide this by the volume of water the bucket can hold
2.5/1.25=2
Thus, we need 2 buckets of water in order to fill the tank