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nata0808 [166]
3 years ago
6

Value of the 8th term is 78

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
The 8's value in 78 would be 8 hundredths also known as 0.08
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Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in
Zielflug [23.3K]

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

6 0
3 years ago
As one once said Another one
aleksandrvk [35]

Answer:

f

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
67 times a number minus 58 is equal to 36 less than the number
marusya05 [52]
67n - 58 = n - 36

hope this helps, have a great day!

6 0
3 years ago
What is 4387 times 9 solved out
tamaranim1 [39]

Answer:

4387 x 9 = 39,483

Step-by-step explanation:

Please consider giving me Brainliest

darrylh3333

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8 0
3 years ago
Find the surface area of each figure?Please help
kolbaska11 [484]
--------------------------------------------------
Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

--------------------------------------------------
Surface area of the rectangle prism
--------------------------------------------------
2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
--------------------------------------------------
2.5 x 2.5 = 6.25m²

--------------------------------------------------
Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

--------------------------------------------------
Answer: 503m²
--------------------------------------------------

4 0
3 years ago
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