(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping
occurs.
2 answers:
Answer:
Option c.
No damping
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The function is
f(x) = (√11)*cos(3.7x)
Which can be seen in the picture below
We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.
f(x) does not present any dampening
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Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,
The given function is,
It can be written as,
By comparing this equation with the standard form of quadratic equation. we get,
The formula for discriminant is,
The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.
Answer:
4).
Step-by-step explanation:
The Given expression is that,
On simplifying,
=
=
= (2×2×2) × ( ×
×
)
=
Thus, <u>option 4</u> i.e. is the correct simplification of the given expression.