The sequence of squares, , has generating function
Recall that for ,
Taking the derivative, we have
and taking the derivative again, we have
From this we can get an expression for in terms of the derivatives of :
Then
Step-by-step explanation:
A=a+b/2
2×A=a+b
2A=a+b
2a-a=b
a=b
hope it helps
Answer:
The hole is 9 inches deep
Step-by-step explanation:
Volume of a cubicle hole = a^3
Where a= side edge of the cube
Volume of dirt removed = 729 cubic inches
How many inches deep is the hole
Volume of a cubicle hole = a^3
729 = a^3
Find the cube root of both sides
3√729 = 3√ a^3
9 = a
a= 9 inches
The hole is 9 inches deep
Check:
9^3
=9 *9*9
= 729
Answer:
48 people
Step-by-step explanation:
The amount of money we have is 500
We have to pay 15 for insurance and 10 per person
500 =15+10p where p is the number of people
Subtract 15 from each side
500-15=15-15+10p
485 = 10p
Divide by 10
485/10 = 10p/10
48.5 = p
We can have 48 since we cannot have part of a person
Answer:
Option C, 262 cm^3
Step-by-step explanation:
<u>Step 1: Substitute 5 for radius and 10 for height</u>
V = 1/3 * pi * r^2 * h
V = 1/3 * pi * (5)^2 * (10)
V = 1/3 * pi * 25 * 10
V = 250pi/3
V = 261.79
Answer: Option C, 262 cm^3