when is removed from the expression derived by the mean value theorem.
Let be , for , according to the mean value theorem, also known as Rolle theorem, there is a value so that:
(1)
Where:
- First derivative evaluated at .
- Function evaluated at zero.
Then, we simplify the expression below:
Please that is equalized to because of . If we eliminate , then we find that .
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Answer:
Step-by-step explanation:
Look at the picture
Domain - x
Range - y
Answer:
c = 10 , d = 26
Step-by-step explanation:
In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.
Given, the length and breadth of the rectangle are 8 and 6 units, and the diagonal is c.
Since it is a rectangle, length , breadth and diagonal from a <em>right angled triangle.</em>
So we have, c² = 6² + 8² = 36 + 64 = 100
⇒ c = 10 units
For the side face:
Length = 24 units.
As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.
So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.
Hence, 24 , d and c (which is 10units) form a <em>right angled triangle</em>
<em> </em>From <em>pythagoras theorem:</em>
d² = 24² + 10² = 576 + 100 = 676
⇒ d = 26 units
Answer:
Clarissa isn't correct; the event that she will have oatmeal for breakfast is a likely as not to happen. Since there are 4 breakfast choices, the probability that she will choose oatmeal is 1/4 (it can be multiple things: 1/4, 2/8, 3/12....)