1st is parallel
2nd is perpendicular
3rd is perpendicular
4th is perpendicular
Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of
We can do this in parts
When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges
Answer:
90
Step-by-step explanation:
0.9 multiplied by 100 to turn it into a percentage is 90.
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
Find out more on equation at: brainly.com/question/2972832
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
