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 : 3.4
Explanation: 12.6 x 15.2= 191.52
651.168 / 191.52 = 3.4
Answer:
The answer is D
Step-by-step explanation:
You use base times height
1/2bh
=1/2(2x+5)(4x)
Answer: y = 21x
Step-by-step explanation:
y in this expression represents the total amount of money, in dollars, the students raise from selling x flowerpots.
21 is the price of each flower pot.
x is the number of flower pots sold.
If for instance, they sold 30 flower pots, y(total amount in dollars) would be;
= 21x
= 21 * 30
= $630
