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.
We can write out a formula in order to solve this. Since sum represents addition, if x represents the unknown number, we can write the formula: x+51=-21. Then, to solve for x, you would subtract 51 from both sides to get x=-72 which is the final answer.
The distance that will separate each rest stop is 4 kilometers.
<h3>What is the distance?</h3>
Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
The distance = length of the trail / number of rest stops
20 km / 5 = 4km
To learn more about division, please check: brainly.com/question/13281206
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Answer:
11*pi/36
Step-by-step explanation:
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