Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>
Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
brainly.com/question/17315536
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Can you please show me the passage?
I cant help you with anything because I need to see the passage.
Answer:
Step-by-step explanation:
Sample standard deviation is found by steps below.
<u>Find the mean:</u>
- μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2
<u>Find deviations from the mean and their squares:</u>
- 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
- 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
- 13 - 12.2 = 0.8 ⇒ 0.8² = 0.64
- 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
- 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
<u>Sum the squares:</u>
- 10.24*2 + 7.84*2 + 0.64 = 36.8
<u>Divide by N - 1 (N - number of samples):</u>
<u>Square root is the sample standard deviation:</u>
