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AVprozaik [17]
2 years ago
8

The full question.the full question you were asking for ​

Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0

Answer:

I'm getting stuck by

= lim \:  \:  \:  \:  \:  \:   \frac{ {h}^{ \frac{1}{5} } }{h}  \\ h > 0

Sorry I can't help you out, if you find the answer through FP lmk

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Write a rule to describe a translation 5 units left and 10 units up
Rashid [163]
The function notation should probably be 5/10
5 0
3 years ago
Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)
maxonik [38]

Answer with Step-by-step explanation:

We are given that

r(t)=< t^2,\frac{2}{3}t^3,t >

We have to find T,N and B at the given point t > (1,2/3,1)

r'(t)=

\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1

T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}

Now, substitute t=1

T(1)=\frac{}{2+1}=\frac{1}{3}

T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}

T'(1)=-\frac{4}{9}+\frac{1}{3}

T'(1)=\frac{1}{9}=

\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}

N(1)=\frac{T'(1)}{\mid T'(1)\mid}

N(1)=\frac{}{\frac{2}{3}}=

N(1)=

B(1)=T(1)\times N(1)

B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}

B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})

B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k

B(1)=\frac{1}{3}

5 0
3 years ago
In the library at Lenape Elementary School, there are
Phoenix [80]

Solution:

we are given that

In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books.

There are 44 books in the school library.

we have been asked to find How many books are fiction books?

Let there are x non fiction books in the library. Then there will be \frac{3}{8}x fiction books.

Hence we can write

x+\frac{3}{8}x=44\\\\\text{Now solve for x}\\\\\frac{8x+3x}{8}=44\\\\\frac{11x}{8}=44\\\\11x=44*8\\\\x=\frac{44*8}{11}\\\\x=4*8=32\\

Hence there are 32 non-fiction books in the library.

and 44-32=12 fiction books in the library.

6 0
3 years ago
5 2/3 divided by 4 in fraction
Ostrovityanka [42]
Exact form: 17/12
mixed number form:1 5/12
8 0
3 years ago
Solve the following linear inequality.
MrRissso [65]

Answer:

SOLVE FOR C

c=2−

x

6

​

−

x

2

3

​

,x



=0

SOLVE FOR X

{

x=

2−c

3

​

(

5−c

​

+

3

​

)

​

; x=

2−c

3

​

(−

5−c

​

+

3

​

)

​

,

x=−

2

1

​

,

​

 

c



=2 and c≤5

c=2

​

4 0
3 years ago
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