Identify the correct phrase to complete the statement.
2 answers:
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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:
The quotient is -3
Step-by-step explanation:
we have
Multiply in cross
Simplify
Remember that
substitute
we know that
substitute
Answer:
The median value will be 8.
Step-by-step explanation:
The simplest way to think of a median is as a sort of "middle" value. We want to arrange our numbers from lowest to highest, then select the one in the middle. Here is another example:
3, 5, 2, 7, 3, 9, 1, 4, 7
The first step is to order these numbers from lowest to highest, like so:
1, 2, 3, 3, 4, 5, 7, 7, 9
The number in the middle of this set is 4.
The problem you have presented, as well as the above example, both deal with an odd amount of numbers. Your problem has seven numbers, and the example I gave has nine. For any odd amount of numbers, the median is the value in the middle. But what about an even amount of numbers?
Consider:
9, 4, 3, 7
Let's rearrange this:
3, 4, 7, 9
Now, there will be two "middle" values: 4 and 7. The median value will be the average of these two values:
I hope that helps!