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Dmitrij [34]
3 years ago
14

A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d

id she ride in 1 hour? Part B Find the exact distance she rode in 1 hour by completing the division.
Mathematics
2 answers:
asambeis [7]3 years ago
8 0

Answer:

A cyclist rode distance of 17.4 miles of distance in 1 hour,.

Step-by-step explanation:

Distance covered by cyclist = d = 60.9 miles

Time taken to cover d distance = t = 3.5 hours

Speed of the cyclist = s

Speed=\frac{Distance}{Time}

s=\frac{d}{t}=\frac{60.9 mile}{3.5 hour}=17.4 mile/hour

A cyclist rode distance of 17.4 miles of distance in 1 hour,.

SVETLANKA909090 [29]3 years ago
5 0

divide total miles by total time:

60.9 / 3.5 = 17.4 miles per hour

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Interval concave up: (0.56,+∞)

Interval concave down: (0,0.56)

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(a) To determine the interval where function f is increasing or decreasing, first derive the function:

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Using the product rule of derivative, which is: [u(x).v(x)]' = u'(x)v(x) + u(x).v'(x),

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To determine the interval where f(x) is positive (increasing) or negative (decreasing), evaluate the function at each interval:

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0<x<0.78                 0.5                 f'(0.5) = -0.22            decreasing

x>0.78                       1                         f'(1) = 1                  increasing

With the table, it can be concluded that in the interval (0,0.78) the function is decreasing while in the interval (0.78, +∞), f is increasing.

Note: As it is a natural logarithm function, there are no negative x-values.

(b) A extremum point (maximum or minimum) is found where f is defined and f' changes signs. In this case:

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f(0.56) = - 0.06

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