Answer:
x=60
Step-by-step explanation:
since f(x) =60 then y is f(x) and in the form y=x 60 is x
Question:
Find the point (,) on the curve
that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:

Step-by-step explanation:
can be represented as: 
Substitute
for 

So, next:
Calculate the distance between
and 
Distance is calculated as:

So:


Evaluate all exponents

Rewrite as:


Differentiate using chain rule:
Let


So:



Chain Rule:




Substitute: 

Next, is to minimize (by equating d' to 0)

Cross Multiply

Solve for x


Substitute
in 

Split

Rationalize



Hence:

Answer: D. 16.33
Step-by-step explanation:
The athlete's average speed was 300 meters/minute.
<h3>How to calculate the speed of the athlete?</h3>
To calculate the speed of the athlete we must perform the following operations.
Divide the distance into the total time:
Transform the value from seconds to minutes, for which we must multiply 5 by 60 because each minute is made up of 60 seconds.
- 5m/sec × 60sec = 300m/min
According to the above, the average speed of the athlete is 300m/min.
Learn more about speed in: brainly.com/question/7359669
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.
Hope this helps!