Answer:
Range is 18.
Step-by-step explanation:
Range can be calculated by subtracting the smallest value of the data set from the largest value of the data set.
The values are:
13, 17, 18, 15, 12, 21, 10, 6, 8, 11, 3
Largest Value in this data set: 21
Smallest Value in this data set: 3
Range = Largest Value - Smallest Value
Range = 21 - 3
Range = 18
45 to get j by itself you need to multiply both sides by 9
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted
, which we can parameterize by the vector-valued function,

for
, which has differential

Then with
, we have



Complete the square in the quadratic term of the integrand:
, then in the integral we substitute
:


Make another substitution of
:

Integrate by parts, taking




So, we have by the fundamental theorem of calculus that



Answer:
what came first the chicken or the egg