Help pls im confused
2 answers:
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Answer:
b
Step-by-step explanation:
We need to find the median of:-
73 75 87 65 69 62 81 64 68 101 74 71 89 87
First, we need to arrange the numbers in ascending order as below:-
62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101
Since there are a total of 14 numbers, let's split it up into two halves (each of seven numbers)
62, 64, 65, 68, 69, 71, 73 ||| 74, 75, 81, 87, 87, 89, 101
The median would be the mean of the two middle numbers i.e. the mean of 73 and 74
Median =
=
= 73.5
So, about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework
Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
AnswerThe equation of the tangent line to f(x) and x = 3 is: