Answer:
The correct answer is option 'b': The rate of change of f changes from decreasing to increasing.
Explanation:
In differential calculus the behavior of any smooth function can be understood on the basis of slope of function alone. As slope of the function is the representation of rate of change of function.
Mathematically
Given as any function we have
1) if then the function is increasing
2) 1) if then the function is decreasing
3) 1) if then the function reaches a critical point.
Thus the nature of the function at any point is specified by the nature of the differential at the point provided the function is defined at that point at which we need to check the behavior.
Uranium-238 undergoes alpha decay. Therefore, uranium-238 will
A. Remain stable
B. Stay the same element
C. Release charged particles and no energy
<u>D. None of the above</u>
The actual answer is that it will change into a different element altogether.
Here, we are required to determine the reaction of the power given to a circuit supplied with a constant voltage as the distance of the circuit decreases.
- In a circuit supposed with a <em>constant voltage</em>, as the resistance of the circuit decreases, the power given to the circuit Increases as evident in the formular: P = V²/R
The power given to a circuit is given by the formula;
Power, P = V × I
where, V = voltage supplied
and I = Current through the circuit.
However, from Ohm's law;
V = I × R
In essence, I = V/R
By substituting, I = V/R into the equation P = V × I
Therefore, we have;
P = V²/R.
Ultimately, if the circuit is supplied with a constant voltage, As the resistance of the circuit decreases, the power given to the circuit Increases.
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