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Maru [420]
3 years ago
13

An airplane traveling toward Denver is 642 miles away ay 1:30pm and 42 miles away at 3:00pm. Assuming the plane's position and v

elocity functions are differentiable, which of the following can be used to show that the plane was traveling at exactly 400 mph at some time between 1:30pm and 3:00pm?
I. Extreme Value Theorem
II. Mean Value Theorem
III. Intermediate Value Theorem for Derivatives
A) I only
B) II only
C) III only
D) Either I or III
E) Either II or III
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0
The Mean Value Theorem is one of the most important theoretical tools in Calculus. It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that 
f'(c) = ( f(b) - f(a) ) / b - a= 642 - 42 / 1.5 h= 400 mphso the answer B
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