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
Width = w
Length = 3w - 6
Area = 360
Equation Area = wl
w (3w-6) = 360
3w^2- 6w = 360
3w^2 - 6w - 360 = 0
3 (w^2 - 2w - 120)=0
3(w + 10)(w - 12) = 0
w = -10 & 12
l = 3w-6 = 3 (-10)-6= -30 - 6= -36
l = 3w-6 = 3(12) - 6 = 36-6 = 30
Answer: -10 and 12. Yet, since this is a measurement, it must be positive so 12 ft
Answer:
Step-by-step explanation:
32.5*9=292.5
add the commission - $28.75
292.5+28.75= $321.25
If you have to estimate I will put $85 and then to find 20 % you just have to kniw that 10% is equal to 8.5 you just move a decimal then you just add 8.5 plus 8.5 = 17 so 20% of 85 is equal to $17 and to find 15% you already know how much is 10%=8.5 so you just need to find 5% that is equal to 4.25 and then you just add 4.25 to 8.5 and that's equal to 12.75
20%= 17
15%=12.5
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
