The natural exponential function can be expressed by e x = ∑ n = 0 ∞ x n n ! . Determine e 2 by calculating the sum of the series for: (a) n =5, (b) n =15, (c) n =25 For each part create a vector n in which the first element is 0, the increment is 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are x n n ! . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare the values obtained in parts ( a ), (b), and (c) with the value of e 2 calculated by MATLAB.
The natural exponential function can be expressed by e x = ∑ n = 0 ∞ x n n ! . Determine e 2 by calculating the sum of the series for: (a) n =5, (b) n =15, (c) n =25 For each part create a vector n in which the first element is 0, the increment is 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are x n n ! . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare the values obtained in parts ( a ), (b), and (c) with the value of e 2 calculated by MATLAB.
The natural exponential function can be expressed by
e
x
=
∑
n
=
0
∞
x
n
n
!
. Determine e2by calculating the sum of the series for:
(a) n=5, (b) n=15, (c) n=25
For each part create a vector n in which the first element is 0, the increment is 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are
x
n
n
!
. Finally, use the MATLAB built-in function sum to add the terms of the series. Compare the values obtained in parts (a), (b), and (c) with the value of e2calculated by MATLAB.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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