I believe the answer is A
Explanation:
Let solve the program using Java programming language
Method: method means group of statements to perform some operation.
let call the method sum.
Parameters: list of variables that are use in the method for declaration.
<u>The code</u>
public int sum (int number)
int answer;
if (number == 1)
answer = number;
else
{
int half = number/2;
int span = number - half;
answer = sum(half) + sum(span) + (half * span);
}
answer result;
}
Firstly we defined the method called sum(), the method takes only one parameter which is number and return the answer(sum of the integers 1 and N).
if the number is equal to 1, so it will return the number and if the number is not equal to 1 it will divide the number by 2 and get the span(span used to shift upper range).And result will add sum of half, sum of span and product of half span.
Answer:
x(t) = d*cos ( wt )
w = √(k/m)
Explanation:
Given:-
- The mass of block = m
- The spring constant = k
- The initial displacement = xi = d
Find:-
- The expression for displacement (x) as function of time (t).
Solution:-
- Consider the block as system which is initially displaced with amount (x = d) to left and then released from rest over a frictionless surface and undergoes SHM. There is only one force acting on the block i.e restoring force of the spring F = -kx in opposite direction to the motion.
- We apply the Newton's equation of motion in horizontal direction.
F = ma
-kx = ma
-kx = mx''
mx'' + kx = 0
- Solve the Auxiliary equation for the ODE above:
ms^2 + k = 0
s^2 + (k/m) = 0
s = +/- √(k/m) i = +/- w i
- The complementary solution for complex roots is:
x(t) = [ A*cos ( wt ) + B*sin ( wt ) ]
- The given initial conditions are:
x(0) = d
d = [ A*cos ( 0 ) + B*sin ( 0 ) ]
d = A
x'(0) = 0
x'(t) = -Aw*sin (wt) + Bw*cos(wt)
0 = -Aw*sin (0) + Bw*cos(0)
B = 0
- The required displacement-time relationship for SHM:
x(t) = d*cos ( wt )
w = √(k/m)
Answer:
The amount of water vapor in the air is called absolute humidity. The amount of water vapor in the air as compared with the amount of water that the air could hold is called relative humidity. This amount of space in air that can hold water changes depending on the temperature and pressure.
Answer:
3 per 10 seconds.
Explanation:
If it's 30 seconds and 3 waves hit throughout that time period, dividing should get you your answer..
30/3 = 10.
Hope this helped!
Source(s) used: N/A
