Answer:
This can be solved by calculating a first degree Taylor approximation polynomial for the function in question around x=a. Taylor's first degree polynomial is given by:

Through this expression, which is easily evaluable around the point x = a, the function f (x) is approximated through a linear function.
Step-by-step explanation:
f ( 7 ) = 2.4 ft
Step-by-step explanation:
Solution:-
- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :
f ( x ) = 18 (0.75)^x
Where, x e [ 0 , ∞ ) : The number of bounces.
f (x) : The maximum height after xth bounce.
- The maximum height reached by the ball after its 7th bounce. So, x = 7:
f ( 7 ) = 18 (0.75)^7
f ( 7 ) = 2.4027 ft
- To the nearest tenth:
f ( 7 ) = 2.4 ft
The judge to be probable shown is not a method
The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.
<h3>How to compute the distance?</h3>
From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The distance will be:
= 160 × cos30°
=160 × 0.866
= 138.56 feet
Learn more about velocity on:
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