Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.
Answer:
hope it helps you see the attachment for further information
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,
Thus, the total prototypes will cost around $60.75
If I understand what you are asking, the number 5 is prime. The definition for a prime number is a number that has no factors other than itself and one. The prime factorization of 5 is 5 * 1. Since 5's factors are only itself and 1, that means that it is prime. The definition of a composite number is a number that has at least one divisor other than one and itself. This means that a number cannot be both prime and composite.
