Answer:
Explanation:
There are only two mutually exclusive possibilities for each complex electronic system: being <em>defective</em> or being <em>not defective</em>:
<em>Probability </em>that no defective systems are found in the sample is the equal to the probability of selecting them consecutively without replacement and finding each one is not defective:
Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
Answer:
The magnitude is
The direction is i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is
The point considered is
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
At