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:
The sign would be positive.
The answer would be 144.
Step-by-step explanation:
Note that there are two negative numbers and two positive numbers:
positive x positive = positive answer.
negative x negative = positive answer.
Solve:
(-4) * (-3) = 12
2 * 6 = 12
12 * 12 = 144
144 would be your answer.
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<h2><u>D:</u></h2><h2><em /></h2><h2><em>The awnser is </em><u><em>4</em></u><em>!! Hope this helps!! <3</em></h2>
f(x) = -5x - 15
Let y = f(x)
y = -5x - 15
Switch the x and y places, and solve for y:
x = -5y - 15
-5y = x + 15
y = (x + 15)/-5
y = -(x/5) - 3
So the inverse of : f(x) = -5x - 15 is
-x/5 - 3
Answer:
what is the question
Step-by-step explanation:
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