Answer:
Σ(-1)^kx^k for k = 0 to n
Step-by-step explanation:
The nth Maclaurin polynomials for f to be
Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......
The given function is.
f(x) = 1/(1+x)
Differentiate four times with respect to x
f(x) = 1/(1+x)
f'(x) = -1/(1+x)²
f''(x) = 2/(1+x)³
f'''(x) = -6/(1+x)⁴
f''''(x) = 24/(1+x)^5
To calculate with a coefficient of 1
f(0) = 1
f'(0) = -1
f''(0) = 2
f'''(0) = -6
f''''(0) = 24
Findinf Pn(x) for n = 0 to 4.
Po(x) = 1
P1(x) = 1 - x
P2(x) = 1 - x + x²
P3(x) = 1 - x+ x² - x³
P4(x) = 1 - x+ x² - x³+ x⁴
Hence, the nth Maclaurin polynomials is
1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n
= Σ(-1)^kx^k for k = 0 to n
Answer: 121871
Step-by-step explanation:
Current population = 98000
Rate of increase = 3.7% / year
Total time = 2020 - 2014 = 6 years
Population in 2020 = 98000 * (1+ (3.7/100))^6
= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505
Rounding off to nearest whole number we get the population = 121871
I think it’s 3 times because 2*3=6 and 4*3=12 and 6*3=18
The answer is c because you need to multiply both numbers inside the parentheses by the number on the outside
