Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;
In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.
Substituting the terms of the equation and the derivative of r´, as follows,
Doing the operations inside of the brackets the derivatives are:
1 ) 
2) 
Entering these values of the integral is
It is possible to factorize the quadratic function and the integral can reduced as,
Thus, evaluate from 0 to 16
The value is 
Answer: The importance of the rule of law with these principles is self-evident. In our system, it is the foundation of governance. Under the rule of law, citizens can live and work safely. They will not be subjected to arbitrary government and are protected against any abuse of power by the state. hope this helps. Can u give me brainliest
Step-by-step explanation:
Answer:
31.5 hours studying English
Step-by-step explanation:
2 math hours = 3 english hours
21 math hours = ? english hours
21/2 = 10.5
10.5 * 3 = 31.5
Answer: f(x)= 
has all real value as its domain.
Explanation: since, we have three functions f(x)=,
while g(x) and p(x) are line segments.
Now, g(x) is a function by a line segment which passes through two points (-1.8,-3) and ( 1,3.8).
Thus it is clear that its domain will be the ends points. so domain of the function g(x) will be [-1.8, 3.8] which is the subset of real numbers set (R).
Similarly, domain of function p(x) will be [1.7, 1], which is also the subset of R.
But, when we talk about f(x) it contains all the possible value of x. Thus we can say that 
has R as its domain.
The answer for this would be 0.167
