Answer:
see explanation
Step-by-step explanation:
Given
, 
Factor the denominators of both fractions
, 
The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)
Multiply numerator/denominator of first fraction by (a + 7)
Multiply numerator/denominator of second fraction by (a + 5 )
,
, then
, 
Let r = (t,t^2,t^3)
Then r' = (1, 2t, 3t^2)
General Line integral is:

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector


Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
Answer:
Step-by-step explanation:
The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.
1x + 2x + 3x = 48'
6x = 48'
x = 8'
The lengths of the sides are 8', 16', 24'
Answer:
Well, the most reasonable explanation would be j+8 or 8+j