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ankoles [38]
3 years ago
7

expanded form 2nd grade there were some horses in a field The Farmer bought 18 more horses and put them in the field . Now he ha

s 45 cows in the field. How many horses did the farmer Buy?
Mathematics
1 answer:
sammy [17]3 years ago
5 0

he bought 18 horses, the cows are irrelevant to the question, that was in there to confuse you.

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find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on
enyata [817]

Let f(x)=\tan^{-1}x. Then f'(x)=\frac1{1+x^2}. Note that f(0)=0.

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n

This means that for |-x^2|=|x|^2, or -1, we have

\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}

Integrate the series to get

f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

\implies\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

6 0
3 years ago
60 POINTSSSS Answer correctly please this depeneds on my dumb GRADE PLEASE
Maru [420]

Answer:

Option 4

Step-by-step explanation:

It's a geometric progression.

After t years,

500(1.1^t)

After 6 years,

500(1.1⁶) = 885.7805

4 0
3 years ago
If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .
Aleks04 [339]

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

6 0
3 years ago
a population of insects doubles every month. If there are 100 insects to start with, how many will there be in 7 month
krok68 [10]
If at the end of every month the population dubbuls then at the end of 7 month there will be 12,800 

month1)200

month2)400

month3) 800

month4) 1600

month5) 3200

month6) 6400

month7)12800
6 0
3 years ago
Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much
MA_775_DIABLO [31]

Answer:

A.$3,600

Step-by-step explanation:

24,000*15% = 3600

or

24,000*0.15 = 3600

5 0
3 years ago
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