Answer:
The block's mass should be 
Explanation:
Given:
Cart with mass 
From the conservation of energy before mass is added,

Where
amplitude of spring mass system,
spring constant

Now new mass
is added to the system,


Here, given in question frequency is reduced to half so we can write,

Where
frequency of system before mass is added,
frequency of system after mass is added.




Therefore, the block's mass should be 
Answer:
Capacitive reactance of the capacitor is 68 ohms
Explanation:
It is given that,
Capacitance, 
Frequency, 
Capacitive reactance is given by :



or

So, the capacitive reactance of the capacitor is 68 ohms. Hence, this is the required solution.
Answer:
please write the question by our way which we can understand
The function y must be equal to 0 on any interval on which it is defined. The function y must be increasing (or equal to 0) on any interval on which it is defined.
Analysis of solution by seeing differential equation:
Given differential equation is: y' = (1/2)y2
How do deduce the results just by seeing them?
The equation tells us that:
rate = positive of ( y^2 )
rate = positive of (positive or zero) = positive or zero
Thus, the rate is positive or zero no matter what value we put in the place of y from its valid domain, since.
When the rate is positive or zero, that means the function will never grow upwards. Thus, either increasing or staying at the same level.
Learn more about differential equations here:
brainly.com/question/25731911
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