d=rt
divide by r on both sides
d/r = t
300/60 =t
5=t
t=5 hours
d=rt
d/t =r
250/4.5 =r
55.5555555=r
55 5/9 miles per hour
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:
Answer
The equation of the tangent line to f(x) and x = 3 is:
Answer:
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Answer:
A vertical shrink and reflects over the x axis