Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
Therefore, for n > 2 and n < -2 x[-n+1] will be zero
The median is the middle-most number. First we need to put the numbers in order from lowest to highest:
81 84 88 94 94 96
The easiest way to find the median is to cross out the first and last number and then continue until you reach the middle.
So cross out 81 and 96:
84 88 94 94 are left.
Cross out 84 and 94:
88 and 94 are left.
Since we are left with 2 different numbers, we need to find the average of them and that’s our median. (88 + 94)/2 = 91
91 is the median.
9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
The constant of proportionality is 13
It would be 40,000 cm because 2 meters = 200 cm and 200*200 = 40,000
