Answer:
The volume =
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume =
<u>Answer-</u>
At the curve has maximum curvature.
<u>Solution-</u>
The formula for curvature =
Here,
Then,
Putting the values,
Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.
Now, equating this to 0
Solving this eq,
we get
∴ At the curvature is maximum.
Answer:
The answer to your question is: letter C
Step-by-step explanation:
Multiplicative inverse is a pair of numbers which product gives 1.
Then
x will be our number
-9x = 1
x = - 1/9
because
-9 x =
= 1