17. In a speech class, students must give a final speech for their exam. The speech can be 15 minutes, or within that time by 4
1 answer:
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For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is and the period given in the question is t=3 seconds. Therefore, the angular velocity,
of the mentioned system will be:
Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:
Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
The function for the given graph is f(x) = (x - 4)(x + 2)(x + 4).
<h3>How to represent a graph by an equation?</h3>- A graph can be represented by the equation y = f(x).
- In the equation, the variable x is called the independent variable and the variable y is called the dependent variable.
In the given graph,
The points that lie on the x-axis are (-4, 0), (-2, 0), and (4, 0) where y-coordinate is 0 and the x coordinates are -4, -2, and 4.
On solving the given functions,
Option A:
f(x) = (x - 4)(x + 2)(x + 4)
Since y = 0 consider f(x) becomes 0
So,
(x - 4)(x + 2)(x + 4) = 0
According to the zero product rule,
x - 4 = 0, x + 2 = 0, and x + 4 = 0
⇒ x = 4, x = -2 and x = -4.
Thus, option A represents the function of the given graph.
Learn more about the graph of a function here:
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Disclaimer: The question given on the portal was incomplete. Here is the complete question.
Question:
Select the correct answer. which equation could represent the graphed function (given in the figure below)?
Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.
