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:
In Triangle FGH, m<F = 42 and an exterior angle at vertex H as a measure of 104. What is the measure of <G?
Step-by-step explanation:
Answer:
The equation to determine the number of days Margo has owned the plant is 
.
Step-by-step explanation:
Given:
Actual length of the tree = 5 cm
Current length of the tree = 65 cm
Per day growth Rate of plant = 2.5 cm
Let number of days she owned the plant be 'x'
Now We can say that,
Current length of the tree is equal to sum of Actual length of the tree and Per day growth Rate of plant multiplied by number of days she owned the plant.
Farming the above sentence in equation form we get;
Hence the equation to determine the number of days Margo has owned the plant is .
Answer:
The 9 ounce box is the better deal, and Kyle will save 2 cents.
Step-by-step explanation:
First, you should find how much 1 once would cost in the 9 ounce box.
Do 2.52 ÷ 9 = x
x = 0.28
This means that in the <u>9 ounce box, one ounce costs 28 cents</u>.
Now, find how much one once would cost in the 12 ounce box.
3.60 ÷ 12 = x
x = 0.30
This means that in the <u>12 ounce box, one ounce costs 30 cents</u>.
This means that the 9 ounce box is a better deal, because it costs less per ounce.
0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.
So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.
