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qaws [65]
3 years ago
13

I NEED HELP WITH THIS ASAP!! Please!

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

f(g(x)) = 3(2x^3 -2)^2 - 4x + 2, and f(g(3)) = 3[2(3)^3 -2]^2 -4*3 -2 = 8102

Step-by-step explanation:

because for f(g(x)), the g(x) is the input of f(x), so put 2x^3 -2 into 3x^2 -4x +2, and you will get f(g(x)). because g(3) is the input of f(x), so find g(3) first, the answer is 52, and then put it back into f(x) which will be f(52) =[3(52)^2 - 4(3) +2], then the answer should be 8102.

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I've solved most! Just need help with 9, 10, 14.
Ugo [173]
7. Correct

- - -

9. By the ratio test, the series will converge if

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{b^{n+1}(x-a)^{n+1}}{\ln(n+1)}}{\frac{b^n(x-a)^n}{\ln n}}\right|

The limit reduces to

\displaystyle|b(x-a)|\lim_{n\to\infty}\frac{\ln n}{\ln(n+1)}=b|x-a|

where |b|=b because b>0 is given. So the series converges when

b|x-a|

This means the radius of convergence is \dfrac1b.

- - -

10. By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{2(n+1)}}{(n+1)(\ln(n+1))^2}}{\frac{x^{2n}}{n(\ln n)^2}}\right|

The limit is

\displaystyle|x^2|

and so the radius of convergence is 1.

- - -

11. Incorrect. By the root test, the series converges for

\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\frac{(x-2)^n}{n^n}\right|}=\lim_{n\to\infty}\frac{|x-2|}n=0

which means the series converges for all x, and so the interval of convergence is (-\infty,\infty).

- - -

For 14 and 16, it'll probably be too late to edit this post by the time you see this. You can try posting the remaining problems in a new question.
7 0
3 years ago
I don't understand math. ​
kicyunya [14]

Answer:

=2 7/12 is needed on sunday

Step-by-step explanation:

Friday + Saturday + Sunday = total time studying

1 1/4 + 2 2/3 + sunday = 6 1/2

Get a common denominator of 12

1/4*3/3 =3/12

2/3 *4/4 =8/12

1/2 *6/6=6/12

1 3/12   + 2 8/12 + sunday = 6 6/12

Combine terms

3 11/12 + sunday = 6 6/12

Subtract 3 11/12 from each side

3 11/12  - 3 11/12 + sunday = 6 6/12 - 3 11/12

sunday =  6 6/12 - 3 11/12

Borrow 1 from 6 in the form of 12/12

sunday =  5 + 12/12+ 6/12 - 3 11/12

            = 5 18/12 - 3 11/12

             =2 7/12

5 0
3 years ago
How would you break down 40% to find 40% of a number<br>​
Alika [10]

Answer:

find 80 percent

Step-by-step explanation:

8 0
3 years ago
Maddy and her cousin work during the summer for a landscaping company. Maddy's cousin has been working for the company longer, s
anygoal [31]
Hope it helps u mate. Plz follow me :)

8 0
3 years ago
Molly is excited to have fresh basil at home. She buys a basil plant that is 90 millimeters tall and puts it on her kitchen wind
satela [25.4K]

Answer:

Molly's basil plant is now 17 centimeters

Step-by-step explanation:

90 millimeters=9 centimeters

20cm-12cm=8cm

9cm+8cm=17cm  

hope this helped :)

5 0
2 years ago
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