Step 1: evaluate f(x+h) and f(x)
We have


And, of course,

Step 2: evaluate f(x+h)-f(x)

Step 3: evaluate (f(x+h)-f(x))/h

Step 4: evaluate the limit of step 3 as h->0

So, we have

You have two vectors:
and 
In order to find the sum
of vectors
and
, you should add corresponding coordinates:
Answer: correct choice is C.
Answer:
80 because each cube has a volume of 8 and there are 10 cubes
Step-by-step explanation: 10*8=80 cubic cm
Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and
be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:

#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:

#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.