1 answer:
The trick here is to use an appropriate substitution. Let u=a^3.
Then du/da=3a^2, and du=3a^2da.
We can now make two key substitutions: In (3a^2)da/(1+a^6), replace 3a^2 by du and a^6 by u^2.
Then we have the integral of du/(1+u^2).
Integrating, we get arctan u + c. Substituting a^3 for u, the final result (the integral in question) is arctan a^3 + c.
Check this by differentiation. if you find the derivative with respect to a of arctan a^3 + c, you MUST obtain the result 3a^2/(1+a^6).
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Quadrant one
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The answer is 7 3/4 inches.
I noticed the word "train" in the problem and I knew I had to help you! :)
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
HOPE THIS HELPS!!!!!:)
The answer to this question is NONE OF THE ABOVE
you would take each answer and add 2 to the end of it, then factor
Answer:
-4(8-3x)>or =6x-8
Step-by-step explanation:
open d bracket
-32+12x >or = 6x-8
collect like terms
12x-6x >or =-8+32
6x = 24
divide both sides by 6
x= 4