Identify the pair of supplementary angles.
1 answer:
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Answer:
a. 38.19m/s
b. 38.605m/s
c. 38.937m/s
d. 39.0117m/s
e. 39.01917m/s
Step-by-step explanation:
The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:
Where:
a. Let's find h(3) and h(4) using the data provided by the problem:
The average velocity over the interval [3, 4] is :
b. Let's find h(3.5) using the data provided by the problem:
The average velocity over the interval [3, 3.5] is :
c. Let's find h(3.1) using the data provided by the problem:
The average velocity over the interval [3, 3.1] is :
d. Let's find h(3.01) using the data provided by the problem:
The average velocity over the interval [3, 3.01] is :
e. Let's find h(3.001) using the data provided by the problem:
Answer:
The domain is {x : x ∈ R} or (-∞ , ∞)
Step-by-step explanation:
* Lets explain how to find the domain
- The domain of the function is the values of x which make the
function defined
- The quantity under the square root must be ≥ 0 because there is
no square root for negative value
* Lets solve the problem
∵ f(x) = √(x² - x + 6)
∴ The value of (x² - x + 6) must be greater than or equal zero because
there is no square root for negative value
- Graph the function to know which values of x make the quantity
under the root is negative that means the values of x which make
the graph under the x-axis
∵ The graph doesn't intersect the x-axis at any point
∵ All the graph is above the x-axis
∴ There is no value of x make f(x) < 0
∴ x can be any real number
∴ The domain of f(x) is all real numbers
∴ The domain is {x : x ∈ R} or (-∞ , ∞)
