A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)=0.
2 answers:
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the volume of cube with edge length 11 m is .
<u>Step-by-step explanation:</u>
Here we have a side length of a cube as 11 m . We need to find the volume of cube . Let's find out:
We know that every side of a cube is identical and equal . And volume of cube is given by formula :
⇒ ...........(1)
According to question we have following parameters as
Putting this in (1)
⇒
⇒
⇒
⇒
Therefore , the volume of cube with edge length 11 m is .
Answer:
The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.
Step-by-step explanation:
Volume of the Square-Based box=171,500 cubic cm
Let the length of a side of the base=x cm
Volume
The material for the top and bottom of the box costs $10.00 per square centimeter.
Surface Area of the Top and Bottom
Therefore, Cost of the Top and Bottom
The material for the sides costs $2.50 per square centimeter.
Surface Area of the Sides=4xh
Cost of the sides=$2.50 X 4xh =10xh
Therefore, total Cost of the box
To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.
Recall that:
The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.
Therefore, the minimum total cost, at x=35cm
Differentiate g using the power rule:
The critical points of g occur where g' is zero or undefined.
We have
and the derivative is undefined for