Answer:
sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...
Step-by-step explanation:
given that f(x) = sin x
we have to find the Taylor series for that
and so on.
i.e. 2nd, 4th, 6th terms would be 0
and also 1st, 5th, 9th terms would be positive for f value and 3rd, 9th,... would be negative
Using the above we can write Taylor series as
This is valid for all real values of x.
x ∈
Answer:
See Explanation
Step-by-step explanation:
I will answer this question with the attached square pyramid
From the attached pyramid, we have:
So, the base area is:
The dimension of each of the 4 triangles is:
So, the area of 4 triangles is:
So, the surface area is:
Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P =
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45