Answer:
185/24
Step-by-step explanation:
Convert both to fractions with the same denominator first.
35/8= 105/24
10/3= 80/24
105/24+80/24
= 185/24
Your answer is 8x hope that helps
Where is the point t in question
March 15 - March 31 = 17 days
April = 30days
May = 31 days
June = 30 days
July = 31 days
August = 31 days
Sept 1 - Sept 15 = 15 days
total = 185 days
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