Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
You have to use Pythagorean's theorem to find the missing side measure. 41^2=40^2 + w^2. 1681 = 1600 + w^2. 1681-1600=w^2. 81=w^2 and w = 9. That's an odd triangle, but accurate! Now use the cos definition of cos x = 9/41, and cos x = .2195. Now use the inverse function on your calculator in degree mode to see that the angle x is 77.3 degrees.
No, because when you have your problem it can be less or more so it can't always be the same. Hope I helped.
Answer:
18np
Step-by-step explanation:
3 × n × p × 6
18 × n × p
18n × p
18np
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Work shown above! Greatest common monomial is 12x^2y