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
No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.
The fraction would be 5/1.
The algebra tiles shows the polynomial x² - 2x - 8
<h3>
Polynomial</h3>
Polynomial is an expression that involves only the operations of <em>addition, subtraction, multiplication</em> of variables.
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
From the image:
Polynomial = x² + x + x - x - x - x - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 = x² - 2x - 8
The algebra tiles shows the polynomial x² - 2x - 8
Find out more on Polynomial at: brainly.com/question/2833285
Answer:
y=3x+10
Step-by-step explanation:
First, put the equation into point-slope form.
y-y1=m(x-x1)
y-4=3(x+2)
Next, distribute 3 to (x+2) and simplify.
y-4=3x+6
y=3x+10
