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.
Answer:
the width of the rectangle is 7 inches
Step-by-step explanation:
Answer:
25.65 square yards
Step-by-step explanation:
The area is 85.5 yd^2
He rents 3/10ths
Multiply the area by the fractional part he rents
85.5 * 3/10
256.5/10
25.65 yd^2
The answer is a I believe
I hope this helped :)
