V = PI x r^2 x H
471 = 3.14 x 5 x H
471 = 15.7 x h
h = 471 / 15.7 = 30 cm
314/ 15.7 = 20 cm
30-20 = 10 cm difference
Answer:
because 57 is closer to 60 than 50
Step-by-step explanation:
The answer is to this question is :
x=-5
Step-by-step explanation:
∑ₙ₌₀°° n! xⁿ
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! xⁿ⁺¹] / (n! xⁿ)│
L = lim(n→∞)│[(n+1)! / n!] (xⁿ⁺¹ / xⁿ)│
L = lim(n→∞)│(n+1) x│
L = ∞
The series is divergent for all values of x.
∑ₙ₌₀°° xⁿ / n!
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / (xⁿ / n!)│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] (n! / xⁿ)│
L = lim(n→∞)│(xⁿ⁺¹ / xⁿ) [n! / (n+1)!]│
L = lim(n→∞)│x / (n+1)│
L = 0
The series is convergent for all values of x.
When a linear function is graphed, a line will drawn on the plot. If we analyze this, this means that the two variables are related by a constant of proportionality. That constant is called the slope. Since the slope is constant, that means that the rate of change is also constant. It would only differ if the rate is increasing or decreasing. It would be increasing if its magnitude is positive which will be graphed as a diagonal to the right. Otherwise, it is decreasing whose magnitude is negative which will be graphed as a diagonal to the left.
