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Papessa [141]
3 years ago
8

Simplify the expression 13+(x+8)

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:x+21

Step-by-step explanation:

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Find the taylor polynomial t3(x) for the function f centered at the number
inysia [295]

Answer:

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3

Step-by-step explanation:

We are given that

f(x)=7tan^{-1}(x)

a=1

T_n(x)=\sum_{r=0}^{n}\frac{f^r(a)(x-a)^r}{r!}

Substitute n=3 and a=1

t_3(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}

f(x)=7tan^{-1}(x)

f(1)=7tan^{-1}(1)=7\times \frac{\pi}{4}=\frac{7\pi}{4}

Where tan^{-1}(1)=\frac{\pi}{4}

f'(x)=\frac{7}{1+x^2}

Using the formula

\frac{d(tan^{-1}(x))}{dx}=\frac{1}{1+x^2}

f'(1)=\frac{7}{2}

f''(x)=\frac{-14x}{(1+x^2)^2}

f''(1)=-\frac{7}{2}

f''(x)=-14x(x^2+1)^{-2}

f'''(x)=-14((x^2+1)^{-2}-4x^2(x^2+1)^{-3}})

By using the formula

(uv)'=u'v+v'u

f'''(x)=-14(\frac{x^2+1-4x^2}{(1+x^2)^3}

f'''(x)=(-14)\frac{-3x^2+1}{(1+x^2)^3}

f'''(1)=-14(\frac{-3(1)+1}{2^3})=\frac{7}{2}

Substitute the values

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{2\times 3\times 2\times 1}(x-1)^3

t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3

7 0
3 years ago
The probability distribution for a
Luden [163]

Answer:

0.30

Step-by-step explanation:

P(x ≤ -3) = P(x=-3) + P(x=-5)

P(x ≤ -3) = 0.13 + 0.17

P(x ≤ -3) = 0.30

6 0
3 years ago
Is 56 a multiple of 6?
andreyandreev [35.5K]

Good evening ,

_______

Answer:

No

____________________

Step-by-step explanation:

A number is a multiple of 6 if it can be divided by 6 .

Since 3 don’t divide 56 because 5 + 6=11 and 3 don’t divided 11 ,

Then 6 don’t divide 56

then , 56 isn’t a multiple of 6.

:)

3 0
3 years ago
Determine the measure of an angle whose measure is 14 times that of its complement
mrs_skeptik [129]

Answer:

84°

Step-by-step explanation:

Let the two complementary angles be x and y.

If the measure of an angle is 14 times the other, then x = 14y...... 1

Since the two angles are complementary, their sum will be 90° i.e x+y = 90° ...... 2

Substitute equation 1 into 2

14y+y = 90

15y = 90

y = 90/15

y = 6

Since the angle is x = 14y

x = 14(6)

x = 84°

Hence the measure of the angle is 84°

8 0
2 years ago
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
gavmur [86]

Answer: A. they will have too much butter

Step-by-step explanation: to much

6 0
2 years ago
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