Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
The birth weight of elephants at the 85th percentile is 262.16 pounds
<h3>What is the standard deviation?</h3>
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The average birth weight of elephants is 200 pounds 
= 200
The deviation of 60 pounds. 
= 60
The birth weight of elephants at the 85th percentile. z = 85%= 1.036
Now from the formula of z-score:-
Hence the birth weight of elephants at the 85th percentile is 262.16 pounds
To know more about standard deviation follow
brainly.com/question/475676
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Answer:
Complementary angles, adjacent angles
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Options: Complementary angles, vertical angles, supplementary angles, adjacent angles
Angles 1 and 2 are opposite to the 90° angle. So, the angles' relationship to that angles is a vertical angle, meaning that the two add up to 90°.
Complementary angles add up to 90°, so this option is correct.
Vertical angles are the pairs of opposite angles formed by two intersecting lines. Because the two angles do not follow this definition, this option is incorrect.
Supplementary angles add up to 180°. However, we know that the two add up to 90°, so this option is incorrect.
Adjacent angles are angles that are next to each other, so this option is correct.
I hope this helps! Feel free to ask any questions!
600 = 360 + 240
In unit circle, (x,y) = (cos(240), sin(240) ) = (-sqrt(3) / 2, -1/2)
