Answer:
a
Step-by-step explanation:
Answer:
It's correct
Step-by-step explanation:
Good job! arcsin(0.9659) is indeed 75 degrees
Answer:
does not exist
Step-by-step explanation:
Inserting 2 to both formulas, you get different results. In that cases, a limit does not exist
Answer:
I dont really know what your asking :/
Step-by-step explanation:
Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
