Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a

Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b

Looking at this integral we see that the interval is between
which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c

Looking at this integral we see that the interval is between
which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d

Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
Answer:
7 groups, 3 boys and 8 girls
Step-by-step explanation:
Let total number of groups be 
and total hikers in one group be 
if number of girls and boys in every group is same, then

....(1)
from (1)
will either be 11 or 7
for
the values won't be real.
For 
so there will be 7 groups with 11 hikers in each groups and every group will have
boys and
girls
Answer:
Distance is 8.485
Midpoint is (3,4)
Step-by-step explanation:
Use the points (-1,7) and (5,1)
Insert them into the equation and solve for D

Insert points into second equation to find midpoint

16...................................
Answer:
x² - 5x = 14
x = -2 or x = 7
Step-by-step explanation:
x² - 5x = 14
x² - 5x - 14 = 0
(x+2)(x-7) = 0
x = -2 or x = 7