Answer:
a) 
b) See Below for proper explanation
Step-by-step explanation:
a) The objective here is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.
The function is 
The expansion is of
is 
The expansion of cos x is 
Therefore; ![e^x + 3 \ cos \ x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ... 3[1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...]](https://tex.z-dn.net/?f=e%5Ex%20%2B%203%20%5C%20cos%20%5C%20x%20%20%3D%201%20%2B%20%5Cdfrac%7Bx%7D%7B1%21%7D%2B%20%5Cdfrac%7Bx%5E2%7D%7B2%21%7D%2B%20%5Cdfrac%7Bx%5E3%7D%7B3%21%7D%20%2B%20...%203%5B1%20-%20%5Cdfrac%7Bx%5E2%7D%7B2%21%7D%2B%20%5Cdfrac%7Bx%5E4%7D%7B4%21%7D-%20%5Cdfrac%7Bx%5E6%7D%7B6%21%7D%2B%20...%5D)

Thus, the first three terms of the above series are:

b)
The series for
is 
let consider the series; 

Thus it converges for all value of x
Let also consider the series 
It also converges for all values of x
Make 3.0035 into a proportion, or over 1000000, to make it a whole number. 30035/1000000.
The answer would be the 1st graph, or more specifically, the graph which has the lines intersecting at coordinates (-4,-3)
Answer:
Step-by-step explanation:
area of ΔEDF=(4/5)²×15=16/25 ×15=48/5 in²=9.6 in²