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.
The answer is as follows:
There are 2 pints in a quart.
There are 2 quarts in a half gallon.
There are 2 half gallons in a gallon.
Therefore, we can conclude that there are 10 quarts of orange juice.
Answer:
Miles per hour and
Kilometres per second.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solving (47):
To solve for B, we have:
--- sum of angles in a triangle
This gives
Collect like terms
Solving (48):
To solve for Y, we have:
--- sum of angles in a triangle
This gives
Where
-- angle on a straight line
Solve for X
So, we have:
2 · 7.5 + 2 · 11 = 15 + 22 = 37
