4. 14
5. 6
6. 1/12
These are the answers to the questions
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
Answer:
Simplified version: 10x^5 - 1x^4 + 2x^3 - 6
Step-by-step explanation:
Since your birthday is 10/1/2006 we can use 1012006 as our digits.
We can make a random polynomial: 10x^5 - 1x^4 + 2x^3 + 0 x^2 + 0x - 6
(since 0 are meaningless we can simply this further into the below equation)
10x^5 - 1x^4 + 2x^3 - 6
Here's an example: https://www.wyzant.com/resources/answers/730225/birthday-polynomial-project-for-04-15-2004
The answer would be 3 because 3✖️4= 12
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!