Answer:
452.4 ft
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr . . . where r is the radius
Filling in the given number, we find the circumference to be ...
C = 2π(72 ft) = 144π ft ≈ 452.4 ft
The distance around the outside edge is about 452.4 feet.
Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is 
, where 
is the rate of salt entering and 
is the rate of salt going outside.
Then we have, 
, and
So we obtain. 
, then
, and using the integrating factor 
, therefore 
, we get 
, after integrating both sides 
, therefore 
, to find 
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions 
, so 
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of 
, due we have 500 L to overflow 
, so we can evualuate the expression of a) 
, is the salt concentration when the tank overflows
Answer:
C arithmetic
Step-by-step explanation:
-2,0,2,4,6
To get from the first term to the second term, we add 2
To get from the second term to the third term, we add 2
To get from the third term to the fourth term, we add 2
The common difference is 2
This is an arithmetic sequence.
There is no single number we can multiply by to move from once term to the next, so it is not a geometric sequence.
Assuming we need to find i such that
1 ≤ i ≤ n and t[i]=i.
If we need to find only the first occurrence, we can do:
for i:1 to n {
if t[i]=i then return(i)
}
If exhaustive search is required, then put the results (values of i) in an array or a linked list, return the number of values found, and the array (or linked list).
