the ishango bone eas found 20000years ago in the congo. why do archaeologist bellieved that the scratxhes on this bine was from
1 answer:
You might be interested in
Answer:
The equation does not have a real root in the interval
Step-by-step explanation:
We can make use of the intermediate value theorem.
The theorem states that if is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:
- If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
- The image of a continuous function over an interval is itself an interval.
Of course, in our case, we will make use of the first one.
First, we need to proof that our function is continues in , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval
, which means to evaluate the equation in 0 and 1:
Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval . I attached a plot of the equation in the interval
where you can clearly observe how the graph does not cross the x-axis in the interval.
Answer:
The amount of paper needed = 363.3 in²
Total amount of paper and plastic needed = 564.3 in
Step-by-step explanation:
As the diagram isn't given.
Consider a right cone shown in the ATTACHMENT.
where
r = 8 in
h = 12 in
First find the value of hypotenuse s by using Pythagoras theorem
<h3>Find Lateral Area:</h3>The amount of paper needed to cover the candle is lateral area, which is given by:
Total amount of paper and plastic is the surface area:
